57889 has 8 divisors (see below), whose sum is σ = 64232. Its totient is φ = 51840.

The previous prime is 57881. The next prime is 57899. The reversal of 57889 is 98875.

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 57600 = 17^2 + 240^2 .

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 57889 - 2³ = 57881 is a prime.

It is a super-2 number, since 2×57889² = 6702272642, which contains 22 as substring.

It is a Duffinian number.

57889 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (57881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (8029).

2⁵⁷⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

57889 is a deficient number, since it is larger than the sum of its proper divisors (6343).

57889 is a wasteful number, since it uses less digits than its factorization.

57889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 20160, while the sum is 37.

The square root of 57889 is about 240.6013300046. The cubic root of 57889 is about 38.6840571133.

It can be divided in two parts, 57 and 889, that added together give a triangular number (946 = T₄₃).

The spelling of 57889 in words is "fifty-seven thousand, eight hundred eighty-nine".