Bohdana is the Czech and Ukrainian feminine of Bohdan — combining the Slavic bog (God) and dan (gift) — meaning "God's gift." The Greek-equivalent name is Theodora.
Bohdana is widely used in the Czech Republic and Ukraine.
Bohdana 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 Bohdana reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.