56944965 has 64 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 23139840.

The previous prime is 56944963. The next prime is 56944981.

56944965 is nontrivially palindromic in base 10.

56944965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56944965 - 2¹ = 56944963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56944963) 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 63 ways as a sum of consecutive naturals, for example, 53761 + ... + 54809.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^56944965 is an apocalyptic number.

56944965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56944965 is an abundant number, since it is smaller than the sum of its proper divisors (59176635).

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

56944965 is a wasteful number, since it uses less digits than its factorization.

56944965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its digits is 1166400, while the sum is 48.

The square root of 56944965 is about 7546.1887731490. The cubic root of 56944965 is about 384.7262122720.

The spelling of 56944965 in words is "fifty-six million, nine hundred forty-four thousand, nine hundred sixty-five".