257231 has 8 divisors (see below), whose sum is σ = 283584. Its totient is φ = 231840.

The previous prime is 257221. The next prime is 257239. The reversal of 257231 is 132752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257231 is a prime.

It is a super-2 number, since 2×257231² = 132335574722, which contains 22 as substring.

It is a Duffinian number.

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 257231.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (35448).

2²⁵⁷²³¹ is an apocalyptic number.

257231 is a deficient number, since it is larger than the sum of its proper divisors (26353).

257231 is a wasteful number, since it uses less digits than its factorization.

257231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its digits is 420, while the sum is 20.

The square root of 257231 is about 507.1794554199. The cubic root of 257231 is about 63.5976549377.

Adding to 257231 its reverse (132752), we get a palindrome (389983).

The spelling of 257231 in words is "two hundred fifty-seven thousand, two hundred thirty-one".