Psyche is from the Greek psūkhḗ (ψυχή — soul, breath, life). Psyche in Greek-Roman mythology is the personification of the soul + the mortal beauty who became immortal goddess + wife of Cupid (Eros). Antonio Canova's Psyche Revived by Cupid's Kiss (1787-1793) at the Louvre is a Neoclassical masterpiece. Asteroid 16 Psyche is currently being explored by the NASA Psyche Mission (launched 2023).
Psyche 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 Psyche reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.