257232 has 40 divisors (see below), whose sum is σ = 696384. Its totient is φ = 81664.

The previous prime is 257221. The next prime is 257239. The reversal of 257232 is 232752.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 257199 and 257208.

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 257232.

It is not an unprimeable number, because it can be changed into a prime (257239) by changing a digit.

257232 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, 988 + ... + 1220.

2²⁵⁷²³² 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 257232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192).

257232 is an abundant number, since it is smaller than the sum of its proper divisors (439152).

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

257232 is a wasteful number, since it uses less digits than its factorization.

257232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 257232 is about 507.1804412633. The cubic root of 257232 is about 63.5977373508.

Adding to 257232 its reverse (232752), we get a palindrome (489984).

The spelling of 257232 in words is "two hundred fifty-seven thousand, two hundred thirty-two".