Arethusa was a nymph who, fleeing a river god, was transformed into a clear freshwater spring.
Flowing and lyrical, her name belongs to the world of woodland waters.
Arethusa 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 Arethusa reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.