343

343 = 7 x 7 x 7.

343 = (3 + 4)³.

342³⁴³ + 343³⁴² is prime.

343 is the sum of the first five odd Fibonacci primes: 343 = 3 + 5 + 13 + 89 + 233.

343 can be expressed using the first six odd primes: 7(3 + 5 + 11 + 13 + 17).

343 + 656 = 999 = 323 + 676.

343 is 1331 in base 6 and 292 in base 11.

343 = 18⁰ + 18¹ + 18².

The Willow Grove exit on the Pennsylvania Turnpike started out as exit 27 (the cube of an odd prime). With a change in exit numbers, Willow Grove is now exit 343, another cube of an odd prime.

Source: Prime Curios!