253232 has 60 divisors (see below), whose sum is σ = 636120. Its totient is φ = 96768.

The previous prime is 253229. The next prime is 253243. The reversal of 253232 is 232352.

It is a Harshad number since it is a multiple of its sum of digits (17).

Its product of digits (360) is a multiple of the sum of its prime divisors (45).

It is a self number, because there is not a number n which added to its sum of digits gives 253232.

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 253232.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13319 + ... + 13337.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2²⁵³²³² 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 253232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060).

253232 is an abundant number, since it is smaller than the sum of its proper divisors (382888).

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

253232 is a wasteful number, since it uses less digits than its factorization.

253232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

The product of its digits is 360, while the sum is 17.

The square root of 253232 is about 503.2216211571. The cubic root of 253232 is about 63.2663619551.

Adding to 253232 its reverse (232352), we get a palindrome (485584).

The spelling of 253232 in words is "two hundred fifty-three thousand, two hundred thirty-two".