Number Gossip

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Unique Properties of 35

  • 35 = 23 + 33, i.e., the sum of the cubes of the first two primes
  • There are 35 free (up to reflections and rotations) hexominoes, the polyominoes made from 6 squares
  • 35 is the number of intersections of diagonals inside a regular heptagon
  • The longest uncrossed knight's tour on a chessboard has 35 moves

Rare Properties of 35

Pentagonal
Tetrahedral (Pyramidal)

Common Properties of 35

Composite
Deficient
Odd
Odious
Square-free