Parvaneh is from the Persian parvāneh (پروانه — butterfly). Parvaneh Vahidmanesh — Iranian author. Princess Parvaneh — modern Persian royal naming. Parvaneh in Persian literature — the iconic butterfly that burns itself in the flame of love is one of the most-celebrated symbols in Persian Sufi poetry (Rumi, Hafez, Attar) representing the soul's ecstatic union with the divine.
Parvaneh 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 Parvaneh reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.