531657 has 32 divisors (see below), whose sum is σ = 940800. Its totient is φ = 290304.

The previous prime is 531637. The next prime is 531667. The reversal of 531657 is 756135.

531657 is a `hidden beast` number, since 5 + 3 + 1 + 657 = 666.

It is not a de Polignac number, because 531657 - 2¹⁶ = 466121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 5 + 3¹² + 6² + 1 + 5³ + 7² .

531657 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 531657.

It is not an unprimeable number, because it can be changed into a prime (531637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5433 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁵³¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

531657 is a deficient number, since it is larger than the sum of its proper divisors (409143).

531657 is a wasteful number, since it uses less digits than its factorization.

531657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 531657 is about 729.1481330978. The cubic root of 531657 is about 81.0109724505.

531657 divided by its sum of digits (27) gives a palindrome (19691).

The spelling of 531657 in words is "five hundred thirty-one thousand, six hundred fifty-seven".