Botan (牡丹) is the Japanese word for the peony — known in Japan as "the queen of flowers" (花の王). Symbol of nobility, prosperity, and good fortune. A traditional Japanese feminine name.
Featured in Tanizaki's The Makioka Sisters.
Botan 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 Botan reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.