56957085 has 48 divisors (see below), whose sum is σ = 104143104. Its totient is φ = 28740096.

The previous prime is 56957071. The next prime is 56957093. The reversal of 56957085 is 58075965.

56957085 is a `hidden beast` number, since 569 + 5 + 7 + 0 + 85 = 666.

56957085 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 56957085 - 2¹¹ = 56955037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56957085.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 116712 + ... + 117198.

It is an arithmetic number, because the mean of its divisors is an integer number (2169648).

Almost surely, 2^56957085 is an apocalyptic number.

It is an amenable number.

56957085 is a deficient number, since it is larger than the sum of its proper divisors (47186019).

56957085 is a wasteful number, since it uses less digits than its factorization.

56957085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 56957085 is about 7546.9917848107. The cubic root of 56957085 is about 384.7535050035.

The spelling of 56957085 in words is "fifty-six million, nine hundred fifty-seven thousand, eighty-five".