57377961 has 12 divisors (see below), whose sum is σ = 83011188. Its totient is φ = 38191104.

The previous prime is 57377933. The next prime is 57377977. The reversal of 57377961 is 16977375.

57377961 is a `hidden beast` number, since 573 + 7 + 79 + 6 + 1 = 666.

57377961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41024025 + 16353936 = 6405^2 + 4044^2 .

It is not a de Polignac number, because 57377961 - 2⁹ = 57377449 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57377911) 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 11 ways as a sum of consecutive naturals, for example, 1321 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (6917599).

Almost surely, 2^57377961 is an apocalyptic number.

It is an amenable number.

57377961 is a deficient number, since it is larger than the sum of its proper divisors (25633227).

57377961 is a wasteful number, since it uses less digits than its factorization.

57377961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10149 counting only the distinct ones).

The product of its digits is 277830, while the sum is 45.

The square root of 57377961 is about 7574.8241563749. The cubic root of 57377961 is about 385.6988733995.

The spelling of 57377961 in words is "fifty-seven million, three hundred seventy-seven thousand, nine hundred sixty-one".