56837385 has 48 divisors (see below), whose sum is σ = 108201600. Its totient is φ = 27371520.

The previous prime is 56837383. The next prime is 56837387. The reversal of 56837385 is 58373865.

56837385 is a `hidden beast` number, since 568 + 3 + 7 + 3 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (56837383) and next prime (56837387).

It is not a de Polignac number, because 56837385 - 2¹ = 56837383 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 56837385.

It is not an unprimeable number, because it can be changed into a prime (56837383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98217 + ... + 98793.

It is an arithmetic number, because the mean of its divisors is an integer number (2254200).

Almost surely, 2^56837385 is an apocalyptic number.

56837385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56837385 is a deficient number, since it is larger than the sum of its proper divisors (51364215).

56837385 is a wasteful number, since it uses less digits than its factorization.

56837385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 795 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 56837385 is about 7539.0573018117. The cubic root of 56837385 is about 384.4837855878.

The spelling of 56837385 in words is "fifty-six million, eight hundred thirty-seven thousand, three hundred eighty-five".