57967 has 12 divisors (see below), whose sum is σ = 73200. Its totient is φ = 45864.

The previous prime is 57947. The next prime is 57973. The reversal of 57967 is 76975.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57967 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 57967 - 2⁷ = 57839 is a prime.

It is a Duffinian number.

57967 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57917) 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, 4453 + ... + 4465.

It is an arithmetic number, because the mean of its divisors is an integer number (6100).

2⁵⁷⁹⁶⁷ is an apocalyptic number.

57967 is a deficient number, since it is larger than the sum of its proper divisors (15233).

57967 is an equidigital number, since it uses as much as digits as its factorization.

57967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 20 counting only the distinct ones).

The product of its digits is 13230, while the sum is 34.

The square root of 57967 is about 240.7633693069. The cubic root of 57967 is about 38.7014236958.

It can be divided in two parts, 579 and 67, that added together give a palindrome (646).

The spelling of 57967 in words is "fifty-seven thousand, nine hundred sixty-seven".