57366 has 12 divisors (see below), whose sum is σ = 124332. Its totient is φ = 19116.

The previous prime is 57349. The next prime is 57367. The reversal of 57366 is 66375.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

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 57366.

It is not an unprimeable number, because it can be changed into a prime (57367) by changing a digit.

57366 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 5 ways as a sum of consecutive naturals, for example, 1576 + ... + 1611.

It is an arithmetic number, because the mean of its divisors is an integer number (10361).

2⁵⁷³⁶⁶ is an apocalyptic number.

57366 is an abundant number, since it is smaller than the sum of its proper divisors (66966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57366 is a wasteful number, since it uses less digits than its factorization.

57366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3192 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 57366 is about 239.5120038745. The cubic root of 57366 is about 38.5672070630.

Subtracting 57366 from its reverse (66375), we obtain a palindrome (9009).

The spelling of 57366 in words is "fifty-seven thousand, three hundred sixty-six".