57159 has 16 divisors (see below), whose sum is σ = 88800. Its totient is φ = 36288.

The previous prime is 57149. The next prime is 57163. The reversal of 57159 is 95175.

It is not a de Polignac number, because 57159 - 2⁴ = 57143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1575) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57119) 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, 747 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (5550).

2⁵⁷¹⁵⁹ is an apocalyptic number.

57159 is a deficient number, since it is larger than the sum of its proper divisors (31641).

57159 is a wasteful number, since it uses less digits than its factorization.

57159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 57159 is about 239.0794846908. The cubic root of 57159 is about 38.5207623999.

It can be divided in two parts, 571 and 59, that added together give a triangular number (630 = T₃₅).

The spelling of 57159 in words is "fifty-seven thousand, one hundred fifty-nine".