Ariel (אֲרִיאֵל) comes from the Hebrew ari (lion) and el (God) — meaning "lion of God." In Isaiah 29, Ariel is a poetic name for Jerusalem.
Today it sits in the U.S. top 200.
Ariel does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Ariel reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.