67 is a prime number.
67 has a unique representation as a sum of three squares: 67 = 32 + 32 + 72.
67 is the largest prime that is not the sum of distinct squares.
67 is the maximum number of regions into which 11 lines divide a plane.
67 is the only number such that the common alphabetical value of its Roman representation (LXVII) is equal to its reversal: 12 + 24 + 22 + 9 + 9 = 76.
67 is the smallest prime that contains all 10 digits when raised to the 10th power: 6710 = 1,822,837,804,551,761,449.
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