253032 has 32 divisors (see below), whose sum is σ = 682080. Its totient is φ = 77760.

The previous prime is 253013. The next prime is 253049. The reversal of 253032 is 230352.

253032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (21315).

253032 is a Friedman number, since it can be written as 503^2+23, using all its digits and the basic arithmetic operations.

2²⁵³⁰³² 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 253032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341040).

253032 is an abundant number, since it is smaller than the sum of its proper divisors (429048).

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

253032 is a wasteful number, since it uses less digits than its factorization.

253032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

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

The square root of 253032 is about 503.0228623035. The cubic root of 253032 is about 63.2497018634.

Adding to 253032 its reverse (230352), we get a palindrome (483384).

The spelling of 253032 in words is "two hundred fifty-three thousand, thirty-two".