33523252 has 36 divisors (see below), whose sum is σ = 72265284. Its totient is φ = 13520640.

The previous prime is 33523247. The next prime is 33523253. The reversal of 33523252 is 25232533.

It can be written as a sum of positive squares in 2 ways, for example, as 22791076 + 10732176 = 4774^2 + 3276^2 .

It is a super-2 number, since 2×33523252² = 2247616849311008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33523253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1699 + ... + 8362.

It is an arithmetic number, because the mean of its divisors is an integer number (2007369).

Almost surely, 2^33523252 is an apocalyptic number.

It is an amenable number.

33523252 is an abundant number, since it is smaller than the sum of its proper divisors (38742032).

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

33523252 is a wasteful number, since it uses less digits than its factorization.

33523252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10087 counting only the distinct ones).

The product of its digits is 5400, while the sum is 25.

The square root of 33523252 is about 5789.9267698305. The cubic root of 33523252 is about 322.4398525732.

Adding to 33523252 its reverse (25232533), we get a palindrome (58755785).

The spelling of 33523252 in words is "thirty-three million, five hundred twenty-three thousand, two hundred fifty-two".