57339 has 12 divisors (see below), whose sum is σ = 86736. Its totient is φ = 36432.

The previous prime is 57331. The next prime is 57347. The reversal of 57339 is 93375.

57339 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (57331) and next prime (57347).

It is not a de Polignac number, because 57339 - 2³ = 57331 is a prime.

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 not an unprimeable number, because it can be changed into a prime (57331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (7228).

2⁵⁷³³⁹ is an apocalyptic number.

57339 is a deficient number, since it is larger than the sum of its proper divisors (29397).

57339 is a wasteful number, since it uses less digits than its factorization.

57339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 57339 is about 239.4556326337. The cubic root of 57339 is about 38.5611554063.

The spelling of 57339 in words is "fifty-seven thousand, three hundred thirty-nine".