Farzana is from the Persian farzāna (فرزانه — wise, intelligent, learned, sage). Farzana Versey — modern Indian-American figure. Princess Farzana — Persian-Urdu royal heritage naming.
Farzana 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 Farzana reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.