233052 has 12 divisors (see below), whose sum is σ = 543816. Its totient is φ = 77680.

The previous prime is 233021. The next prime is 233069. The reversal of 233052 is 250332.

233052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

233052 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 3 ways as a sum of consecutive naturals, for example, 9699 + ... + 9722.

It is an arithmetic number, because the mean of its divisors is an integer number (45318).

2²³³⁰⁵² is an apocalyptic number.

It is an amenable number.

233052 is an abundant number, since it is smaller than the sum of its proper divisors (310764).

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

233052 is a wasteful number, since it uses less digits than its factorization.

233052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19428 (or 19426 counting only the distinct ones).

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

The square root of 233052 is about 482.7545960423. The cubic root of 233052 is about 61.5390722696.

Adding to 233052 its reverse (250332), we get a palindrome (483384).

The spelling of 233052 in words is "two hundred thirty-three thousand, fifty-two".