56344365 has 144 divisors (see below), whose sum is σ = 130605696. Its totient is φ = 22176000.

The previous prime is 56344363. The next prime is 56344403.

56344365 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56344365 - 2¹ = 56344363 is a prime.

Its product of digits (129600) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56344363) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 557815 + ... + 557915.

It is an arithmetic number, because the mean of its divisors is an integer number (906984).

Almost surely, 2^56344365 is an apocalyptic number.

56344365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56344365 is an abundant number, since it is smaller than the sum of its proper divisors (74261331).

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

56344365 is a wasteful number, since it uses less digits than its factorization.

56344365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 56344365 is about 7506.2883637654. The cubic root of 56344365 is about 383.3688566114.

It can be divided in two parts, 5634 and 4365, that added together give a palindrome (9999).

The spelling of 56344365 in words is "fifty-six million, three hundred forty-four thousand, three hundred sixty-five".