57165 has 16 divisors (see below), whose sum is σ = 94848. Its totient is φ = 29376.

The previous prime is 57163. The next prime is 57173. The reversal of 57165 is 56175.

It is not a de Polignac number, because 57165 - 2¹ = 57163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2⁵⁷¹⁶⁵ is an apocalyptic number.

It is an amenable number.

57165 is a deficient number, since it is larger than the sum of its proper divisors (37683).

57165 is a wasteful number, since it uses less digits than its factorization.

57165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its digits is 1050, while the sum is 24.

The square root of 57165 is about 239.0920324896. The cubic root of 57165 is about 38.5221101986.

Subtracting from 57165 its reverse (56175), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 571 and 65, that added together give a palindrome (636).

The spelling of 57165 in words is "fifty-seven thousand, one hundred sixty-five".