27333 is a product of a 4k+3 prime (3) raised to an even power (2) and a 4k+1 prime (3037) and so it can be expressed as a sum of two squares in one way only viz. 162^2 + 33^2.

27333 is a member of OEIS A245315: concatenate n-th composite number with concatenation of its prime factors in ascending order, here n=27. The initial members are:

422, 623, 8222, 933, 1025, 12223, 1427, 1535, 162222, 18233, 20225, 2137, 22211, 242223, 2555, 26213, 27333, 28227, 30235, 3222222, 33311, 34217, 3557, 362233, 38219, 39313, 402225, 42237, 442211, 45335, 46223, 4822223

27333 is an interprime number because it is at equal distance from previous prime (27329) and next prime (27337).

27333 is an inconsummate number since there does not exist a number n which divided by its sum of digits gives 27333.

27333 is a lucky number.

27333 is a Duffinian number and Curzon number.

27333 is a modest number since divided by 333 gives 27 as remainder.