56977965 has 128 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 24883200.

The previous prime is 56977957. The next prime is 56977993.

56977965 is a `hidden beast` number, since 569 + 7 + 79 + 6 + 5 = 666.

56977965 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56977965 - 2³ = 56977957 is a prime.

Its product of digits (3572100) is a multiple of the sum of its prime factors (140).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 934035 + ... + 934095.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 2^56977965 is an apocalyptic number.

56977965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56977965 is an abundant number, since it is smaller than the sum of its proper divisors (65157075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56977965 is a wasteful number, since it uses less digits than its factorization.

56977965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The square root of 56977965 is about 7548.3749906851. The cubic root of 56977965 is about 384.8005150854.

The spelling of 56977965 in words is "fifty-six million, nine hundred seventy-seven thousand, nine hundred sixty-five".