The name Arah in Hebrew letters is ארח. Below: how its number adds up, which page of the Torah it falls on and what verse stands there. Everything is computed, nothing is guessed.
ארח
In short
Your name in Hebrew letters is ארח. A Tanakh name: name of three Israelites (first in Ezra 2:5; 4 mentions in the Tanakh). Meaning, per Strong’s dictionary (1890): “wayfaring”. Adding up the numbers of its letters gives 209 — the same as the Torah word אחר, “after, behind”. That number points to Torah page 209 of 354 — in the portion Emor. What that portion is about: Laws of the priests; animals without blemish; the calendar of festivals — from the Sabbath to Sukkot; the lamp and the showbread. The verse that begins with the first letter of your name and ends with the last is Genesis 6:9. Each of these steps is laid out below with its sources. Every figure can be checked by hand.
You wrote “Arah” — this exact spelling is what was calculated: ארח. A name from the Tanakh — its Tanakh spelling is used. If your name is spelled differently, correct the Hebrew spelling and the report is recomputed.
Adding up the letters of the name ארח gives 209.
209
The number 209 is the Torah word אחר — «after, behind» (Genesis 5:4).
And they put him in ward, that it might be declared unto them at the mouth of HaShem.
This is from the portion Emor. What it is about: Laws of the priests; animals without blemish; the calendar of festivals — from the Sabbath to Sukkot; the lamp and the showbread.
Other ways of counting
The tradition counts the same name in several ways. The main one is above: each letter is its number. The other eight are old and checkable too; each gives its own number, and many of them have a Torah word with the same number.
Final letters as 500–900 (mispar gadol) — 209. A Torah word with the same number is אחר — “after, behind” (Genesis 5:4).
Reduced, each letter to one digit (mispar katan) — 11. A Torah word with the same number is חג — “festival” (Exodus 10:9).
Ordinal: alef 1, bet 2 … tav 22 (mispar siduri) — 29. A Torah word with the same number is דכה — “crushed” (Deuteronomy 23:2).
Cumulative: a letter plus all letters before it (mispar kidmi) — 832. A Torah word with the same number is נשבעתי — “I have sworn” (Genesis 22:16).
Squares of the letter values (mispar perati) — 40065.
Building: the sum grows with each letter (mispar bone’eh) — 411. A Torah word with the same number is שלמיאל — “Shelumiel, chief of Simeon” (Numbers 1:6).
The letters that come out are תגס — not a word that stands in the Pentateuch. Atbash: letters mirrored, alef for tav, bet for shin, and the number of the resulting word — 463.
Filling: the names of the letters are counted — alef, bet, gimel… (milui) — 1039.
The number 209 appears in the classical books 5 times across 5 works. The earliest mention is בעל הטורים על התורה (~1300).
Every letter of the name explained, the words and namesakes with references, the Hebrew date, the letter and tribe of the month, day 861 of your life (±1), the psalm by age, the attestations from the classical books — a PDF sent to your email.
The number of the day, every morning
Every date has a number too. Once a year it will match the number of your name — 209. The channel posts one number a day, one verse and the Torah page it lands on. Nothing after it, no mailing list.
Hebrew is written from right to left. ארח has 3 letters: א Alef, ר Resh, ח Chet. The first letter is Alef, the last is Chet.
For an engraving, a sign or a tattoo, show the spelling to someone who reads Hebrew: transliterating a name is a choice, not the only option.
The name ארח appears in the Torah as a word 2 times. The first time is Genesis 18:11.
The verse of your name
There is a custom: at the end of the prayer one says a Torah verse that begins with the first letter of one's name and ends with its last. For ארח these are א and ח. The Pentateuch has 4 such verses. The first of them is Genesis 6:9:
אלה תולדת נח נח איש צדיק תמים היה בדרתיו את האלהים התהלך נח
This is from the portion Noach. What it is about: The flood and the ark; the rainbow as a sign of the covenant; the tower of Babel; ten generations from Noah to Abraham.
Each Hebrew letter has a number; a word's number is their sum (alef 1 … tav 400). The page is the remainder modulo 354: the Torah divided into 354 pages of 861 letters, as the lunar year has 354 days. Everything can be checked by hand.