319

319 = 11 x 29.

319 is the largest number whose cube's digits are all different: 319³ = 32461759.

319 is the sum of three consecutive primes: 319 = 103 + 107 + 109.

Among the partitions of n into distinct primes, the one having the maximum product of parts is not necessarily one of those with the maximum number of parts. The smallest case is 319 = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 23 + 29 + 31 + 37 + 41 + 47 + 53 and 319 = 3 + 5 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47. Hence, 319 is the smallest number with the property that the partition with the largest product does not have a maximum number of parts.

319 cannot be represented as a sum of fewer than 19 fourth powers: 319 = 3 x 3⁴ + 4 x 2⁴ + 12 x 1⁴.

319 is a divisor of 12⁴ - 1.

Source: Number Gossip and Prime Curios!