33608 has 8 divisors (see below), whose sum is σ = 63030. Its totient is φ = 16800.

The previous prime is 33601. The next prime is 33613. The reversal of 33608 is 80633.

33608 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 484 = 182^2 + 22^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×33608² = 2258995328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33608.

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 as a sum of consecutive naturals, namely, 2093 + ... + 2108.

2³³⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

33608 is a deficient number, since it is larger than the sum of its proper divisors (29422).

33608 is a wasteful number, since it uses less digits than its factorization.

33608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 33608 is about 183.3248482885. The cubic root of 33608 is about 32.2711337151.

The spelling of 33608 in words is "thirty-three thousand, six hundred eight".