33368 has 16 divisors (see below), whose sum is σ = 64680. Its totient is φ = 16128.

The previous prime is 33359. The next prime is 33377. The reversal of 33368 is 86333.

It is an interprime number because it is at equal distance from previous prime (33359) and next prime (33377).

It is a super-2 number, since 2×33368² = 2226846848, which contains 22 as substring.

It is a plaindrome in base 10 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 296 + ... + 392.

2³³³⁶⁸ is an apocalyptic number.

It is an amenable number.

33368 is a deficient number, since it is larger than the sum of its proper divisors (31312).

33368 is a wasteful number, since it uses less digits than its factorization.

33368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 33368 is about 182.6690997405. The cubic root of 33368 is about 32.1941323876.

The spelling of 33368 in words is "thirty-three thousand, three hundred sixty-eight".