33365052 has 72 divisors (see below), whose sum is σ = 99520512. Its totient is φ = 9223200.

The previous prime is 33365039. The next prime is 33365053. The reversal of 33365052 is 25056333.

33365052 is a `hidden beast` number, since 3 + 3 + 3 + 650 + 5 + 2 = 666.

It is a super-2 number, since 2×33365052² = 2226453389925408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33365053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5677 + ... + 9947.

Almost surely, 2^33365052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33365052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49760256).

33365052 is an abundant number, since it is smaller than the sum of its proper divisors (66155460).

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

33365052 is a wasteful number, since it uses less digits than its factorization.

33365052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 33365052 is about 5776.2489558536. The cubic root of 33365052 is about 321.9318426271.

It can be divided in two parts, 33 and 365052, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 33365052 in words is "thirty-three million, three hundred sixty-five thousand, fifty-two".