57531 has 8 divisors (see below), whose sum is σ = 77824. Its totient is φ = 37800.

The previous prime is 57529. The next prime is 57557. The reversal of 57531 is 13575.

It is a happy number.

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

It is not a de Polignac number, because 57531 - 2¹ = 57529 is a prime.

It is a super-2 number, since 2×57531² = 6619631922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57498 and 57507.

It is not an unprimeable number, because it can be changed into a prime (57571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (9728).

2⁵⁷⁵³¹ is an apocalyptic number.

57531 is a deficient number, since it is larger than the sum of its proper divisors (20293).

57531 is a wasteful number, since it uses less digits than its factorization.

57531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281.

The product of its digits is 525, while the sum is 21.

The square root of 57531 is about 239.8562069241. The cubic root of 57531 is about 38.6041482114.

Subtracting from 57531 its reverse (13575), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 575 and 31, that added together give a palindrome (606).

The spelling of 57531 in words is "fifty-seven thousand, five hundred thirty-one".