Number Gossip

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Unique Properties of 997

  • 997 is the largest three-digit prime
  • 997 is the smallest prime p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime
  • 997 is the smallest prime p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime

Common Properties of 997

Deficient
Lucky
Odd
Odious
Prime
Square-free