33252 has 24 divisors (see below), whose sum is σ = 82656. Its totient is φ = 10368.

The previous prime is 33247. The next prime is 33287. The reversal of 33252 is 25233.

It is a super-2 number, since 2×33252² = 2211391008, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33252.

It is an unprimeable number.

33252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (3444).

2³³²⁵² 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 33252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41328).

33252 is an abundant number, since it is smaller than the sum of its proper divisors (49404).

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

33252 is a wasteful number, since it uses less digits than its factorization.

33252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its digits is 180, while the sum is 15.

The square root of 33252 is about 182.3513092906. The cubic root of 33252 is about 32.1567826786.

Adding to 33252 its reverse (25233), we get a palindrome (58485).

The spelling of 33252 in words is "thirty-three thousand, two hundred fifty-two".