57319 has 6 divisors (see below), whose sum is σ = 60576. Its totient is φ = 54180.

The previous prime is 57301. The next prime is 57329. The reversal of 57319 is 91375.

57319 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 57319 - 2⁵ = 57287 is a prime.

It is a super-2 number, since 2×57319² = 6570935522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57293 and 57302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1312 + ... + 1354.

It is an arithmetic number, because the mean of its divisors is an integer number (10096).

2⁵⁷³¹⁹ is an apocalyptic number.

57319 is a deficient number, since it is larger than the sum of its proper divisors (3257).

57319 is an equidigital number, since it uses as much as digits as its factorization.

57319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its digits is 945, while the sum is 25.

The square root of 57319 is about 239.4138676017. The cubic root of 57319 is about 38.5566714728.

The spelling of 57319 in words is "fifty-seven thousand, three hundred nineteen".