Var is from the Old Norse Vár (pledge, vow) — Norse goddess of contracts and sworn oaths. Var is one of the Asynjur goddesses attested in Snorri Sturluson's Prose Edda (13th c.) — Gylfaginning chapter 35, where she hears all oaths between lovers and punishes those who break them. Mentioned in the Þrymskviða (Poetic Edda).
Var 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 Var reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.