33008 has 10 divisors (see below), whose sum is σ = 63984. Its totient is φ = 16496.

The previous prime is 32999. The next prime is 33013. The reversal of 33008 is 80033.

It is a happy number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 32983 and 33001.

It is a congruent number.

It is an unprimeable number.

33008 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 1016 + ... + 1047.

2³³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

33008 is a deficient number, since it is larger than the sum of its proper divisors (30976).

33008 is a wasteful number, since it uses less digits than its factorization.

33008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 33008 is about 181.6810391868. The cubic root of 33008 is about 32.0779350375.

The spelling of 33008 in words is "thirty-three thousand, eight".