Faigel comes from the Yiddish feygele, meaning "little bird." The name was widely used in Ashkenazi Jewish communities of Eastern Europe.
Faigel was the original Yiddish name of many American Jewish women who anglicized it as Fanny or Faye in the early 20th century.
Faigel 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 Faigel reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.