33664 has 16 divisors (see below), whose sum is σ = 67320. Its totient is φ = 16768.

The previous prime is 33647. The next prime is 33679. The reversal of 33664 is 46633.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×33664² = 2266529792, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33664.

It is an unprimeable number.

33664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4 + ... + 259.

2³³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

33664 is a deficient number, since it is larger than the sum of its proper divisors (33656).

33664 is an equidigital number, since it uses as much as digits as its factorization.

33664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 33664 is about 183.4775190589. The cubic root of 33664 is about 32.2890479088.

It can be divided in two parts, 336 and 64, that added together give a square (400 = 20²).

The spelling of 33664 in words is "thirty-three thousand, six hundred sixty-four".