33005268 has 36 divisors (see below), whose sum is σ = 84098560. Its totient is φ = 10913616.

The previous prime is 33005251. The next prime is 33005281. The reversal of 33005268 is 86250033.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963 + ... + 8181.

Almost surely, 2^33005268 is an apocalyptic number.

It is an amenable number.

33005268 is an abundant number, since it is smaller than the sum of its proper divisors (51093292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33005268 is a wasteful number, since it uses less digits than its factorization.

33005268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 33005268 is about 5745.0211487861. The cubic root of 33005268 is about 320.7705000620.

The spelling of 33005268 in words is "thirty-three million, five thousand, two hundred sixty-eight".