57751 has 2 divisors, whose sum is σ = 57752. Its totient is φ = 57750.

The previous prime is 57737. The next prime is 57773. The reversal of 57751 is 15775.

57751 is nontrivially palindromic in base 6.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 57751 - 2⁵ = 57719 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28875 + 28876.

It is an arithmetic number, because the mean of its divisors is an integer number (28876).

2⁵⁷⁷⁵¹ is an apocalyptic number.

57751 is a deficient number, since it is larger than the sum of its proper divisors (1).

57751 is an equidigital number, since it uses as much as digits as its factorization.

57751 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1225, while the sum is 25.

The square root of 57751 is about 240.3143774309. The cubic root of 57751 is about 38.6532933670.

It can be divided in two parts, 5775 and 1, that added together give a square (5776 = 76²).

The spelling of 57751 in words is "fifty-seven thousand, seven hundred fifty-one".