Vrishti is from the Sanskrit वृष्टि (Vṛṣṭi — rain, shower of rain) — from Sanskrit vṛṣ (to rain/pour). Vrishti is one of the Sanskrit feminine names — central to traditional Hindu Vedic heritage. Sanskrit feminine name reflecting Hindu Vaishnava heritage.
Vrishti 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 Vrishti reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.