57311 has 4 divisors (see below), whose sum is σ = 57792. Its totient is φ = 56832.

The previous prime is 57301. The next prime is 57329. The reversal of 57311 is 11375.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 57311 - 2¹⁴ = 40927 is a prime.

It is a Duffinian number.

57311 is an undulating number in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 57311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (14448).

2⁵⁷³¹¹ is an apocalyptic number.

57311 is a deficient number, since it is larger than the sum of its proper divisors (481).

57311 is a wasteful number, since it uses less digits than its factorization.

57311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its digits is 105, while the sum is 17.

The square root of 57311 is about 239.3971595487. The cubic root of 57311 is about 38.5548776074.

Adding to 57311 its reverse (11375), we get a palindrome (68686).

The spelling of 57311 in words is "fifty-seven thousand, three hundred eleven".