57715 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 36864.

The previous prime is 57713. The next prime is 57719. The reversal of 57715 is 51775.

It is a 12-Lehmer number, since φ(57715) divides (57715-1)¹².

It is a cyclic number.

It is not a de Polignac number, because 57715 - 2¹ = 57713 is a prime.

It is a nude number because it is divisible by every one of its digits.

57715 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 57715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁵⁷⁷¹⁵ is an apocalyptic number.

57715 is a deficient number, since it is larger than the sum of its proper divisors (26957).

57715 is a wasteful number, since it uses less digits than its factorization.

57715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

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

The square root of 57715 is about 240.2394638689. The cubic root of 57715 is about 38.6452599835.

It can be divided in two parts, 5771 and 5, that added together give a square (5776 = 76²).

The spelling of 57715 in words is "fifty-seven thousand, seven hundred fifteen".