Banafsheh (بنفشه) is the Persian word for "violet" — both the flower and the color. A poetic Iranian feminine name evoking the modest delicate flower.
Used widely in modern Iran.
Banafsheh 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 Banafsheh reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.