57977 has 2 divisors, whose sum is σ = 57978. Its totient is φ = 57976.

The previous prime is 57973. The next prime is 57991. The reversal of 57977 is 77975.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44521 + 13456 = 211^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 57977 - 2² = 57973 is a prime.

It is a super-2 number, since 2×57977² = 6722665058, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57977.

It is not a weakly prime, because it can be changed into another prime (57973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28988 + 28989.

It is an arithmetic number, because the mean of its divisors is an integer number (28989).

2⁵⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

57977 is a deficient number, since it is larger than the sum of its proper divisors (1).

57977 is an equidigital number, since it uses as much as digits as its factorization.

57977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15435, while the sum is 35.

The square root of 57977 is about 240.7841356900. The cubic root of 57977 is about 38.7036490538.

It can be divided in two parts, 579 and 77, that added together give a palindrome (656).

The spelling of 57977 in words is "fifty-seven thousand, nine hundred seventy-seven".