Chrysanthi is from the Greek Χρυσάνθη (Chrysánthi — gold flower) — from Greek chrysos (gold) + anthos (flower). Chrysanthi is one of the Greek feminine names — central to traditional Greek floral-virtue heritage.
Chrysanthi is a compound name. Its parts are khrysós + ánthos — each an attested element with a recorded meaning of its own.
Chrysanthi 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.
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In Pythagorean numerology the letters of Chrysanthi reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.