57566 has 8 divisors (see below), whose sum is σ = 87480. Its totient is φ = 28408.

The previous prime is 57559. The next prime is 57571. The reversal of 57566 is 66575.

57566 is nontrivially palindromic in base 12.

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

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

57566 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2⁵⁷⁵⁶⁶ is an apocalyptic number.

57566 is a deficient number, since it is larger than the sum of its proper divisors (29914).

57566 is a wasteful number, since it uses less digits than its factorization.

57566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

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

The square root of 57566 is about 239.9291562107. The cubic root of 57566 is about 38.6119751296.

Subtracting 57566 from its reverse (66575), we obtain a palindrome (9009).

It can be divided in two parts, 575 and 66, that multiplied together give a triangular number (37950 = T₂₇₅).

The spelling of 57566 in words is "fifty-seven thousand, five hundred sixty-six".