57977137 has 2 divisors, whose sum is σ = 57977138. Its totient is φ = 57977136.

The previous prime is 57977093. The next prime is 57977149. The reversal of 57977137 is 73177975.

57977137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 1366561 = 7524^2 + 1169^2 .

It is a cyclic number.

It is not a de Polignac number, because 57977137 - 2⁷ = 57977009 is a prime.

It is a super-2 number, since 2×57977137² = 6722696829433538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67977137) 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 as a sum of consecutive naturals, namely, 28988568 + 28988569.

It is an arithmetic number, because the mean of its divisors is an integer number (28988569).

Almost surely, 2^57977137 is an apocalyptic number.

It is an amenable number.

57977137 is a deficient number, since it is larger than the sum of its proper divisors (1).

57977137 is an equidigital number, since it uses as much as digits as its factorization.

57977137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324135, while the sum is 46.

The square root of 57977137 is about 7614.2719284249. The cubic root of 57977137 is about 387.0367953940.

The spelling of 57977137 in words is "fifty-seven million, nine hundred seventy-seven thousand, one hundred thirty-seven".