Swati (स्वाति) is a Hindi name meaning “a star; arcturus”. Sanskrit — one of the lunar mansions (nakshatras). The rain that falls under Swati was said to form pearls.
Swati 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 Swati reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.