57031 has 8 divisors (see below), whose sum is σ = 63504. Its totient is φ = 50880.

The previous prime is 56999. The next prime is 57037. The reversal of 57031 is 13075.

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

It is a cyclic number.

It is not a de Polignac number, because 57031 - 2⁵ = 56999 is a prime.

It is a super-2 number, since 2×57031² = 6505069922, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 56996 and 57014.

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 57031.

It is not an unprimeable number, because it can be changed into a prime (57037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2⁵⁷⁰³¹ is an apocalyptic number.

57031 is a deficient number, since it is larger than the sum of its proper divisors (6473).

57031 is a wasteful number, since it uses less digits than its factorization.

57031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 57031 is about 238.8116412573. The cubic root of 57031 is about 38.4919868633.

Subtracting from 57031 its reverse (13075), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 57031 in words is "fifty-seven thousand, thirty-one".