33604 has 12 divisors (see below), whose sum is σ = 60928. Its totient is φ = 16200.

The previous prime is 33601. The next prime is 33613. The reversal of 33604 is 40633.

It is a happy number.

It is a super-2 number, since 2×33604² = 2258457632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33601) by changing a digit.

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, 12 + ... + 259.

2³³⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

33604 is a deficient number, since it is larger than the sum of its proper divisors (27324).

33604 is a wasteful number, since it uses less digits than its factorization.

33604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33604 is about 183.3139383680. The cubic root of 33604 is about 32.2698533686.

It can be divided in two parts, 3360 and 4, that added together give a square (3364 = 58²).

The spelling of 33604 in words is "thirty-three thousand, six hundred four".