57665 has 8 divisors (see below), whose sum is σ = 72960. Its totient is φ = 43632.

The previous prime is 57653. The next prime is 57667. The reversal of 57665 is 56675.

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 57665 - 2⁴ = 57649 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57665.

It is not an unprimeable number, because it can be changed into a prime (57667) 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, 209 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2⁵⁷⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

57665 is a deficient number, since it is larger than the sum of its proper divisors (15295).

57665 is a wasteful number, since it uses less digits than its factorization.

57665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631.

The product of its digits is 6300, while the sum is 29.

The square root of 57665 is about 240.1353784847. The cubic root of 57665 is about 38.6340969625.

Subtracting from 57665 its reverse (56675), we obtain a triangular number (990 = T₄₄).

The spelling of 57665 in words is "fifty-seven thousand, six hundred sixty-five".