56041965 has 48 divisors (see below), whose sum is σ = 112320000. Its totient is φ = 25318656.

The previous prime is 56041919. The next prime is 56041967. The reversal of 56041965 is 56914065.

56041965 is a `hidden beast` number, since 560 + 4 + 1 + 96 + 5 = 666.

It is not a de Polignac number, because 56041965 - 2⁶ = 56041901 is a prime.

It is a super-3 number, since 3×56041965³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56041967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27036 + ... + 29034.

It is an arithmetic number, because the mean of its divisors is an integer number (2340000).

Almost surely, 2^56041965 is an apocalyptic number.

It is an amenable number.

56041965 is an abundant number, since it is smaller than the sum of its proper divisors (56278035).

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

56041965 is a wasteful number, since it uses less digits than its factorization.

56041965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56041965 is about 7486.1181529548. The cubic root of 56041965 is about 382.6817795463.

It can be divided in two parts, 5604 and 1965, that added together give a square (7569 = 87²).

The spelling of 56041965 in words is "fifty-six million, forty-one thousand, nine hundred sixty-five".