57189 has 8 divisors (see below), whose sum is σ = 83232. Its totient is φ = 34640.

The previous prime is 57179. The next prime is 57191. The reversal of 57189 is 98175.

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 57189 - 2⁴ = 57173 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 834 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (10404).

2⁵⁷¹⁸⁹ is an apocalyptic number.

It is an amenable number.

57189 is a deficient number, since it is larger than the sum of its proper divisors (26043).

57189 is a wasteful number, since it uses less digits than its factorization.

57189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747.

The product of its digits is 2520, while the sum is 30.

The square root of 57189 is about 239.1422171010. The cubic root of 57189 is about 38.5275004508.

The spelling of 57189 in words is "fifty-seven thousand, one hundred eighty-nine".