56345 has 8 divisors (see below), whose sum is σ = 69120. Its totient is φ = 44080.

The previous prime is 56333. The next prime is 56359. The reversal of 56345 is 54365.

56345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 56345 - 2¹² = 52249 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56345.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56345.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁵⁶³⁴⁵ is an apocalyptic number.

It is an amenable number.

56345 is a deficient number, since it is larger than the sum of its proper divisors (12775).

56345 is a wasteful number, since it uses less digits than its factorization.

56345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255.

The product of its digits is 1800, while the sum is 23.

The square root of 56345 is about 237.3710176075. The cubic root of 56345 is about 38.3370296793.

Subtracting from 56345 its product of digits (1800), we obtain a palindrome (54545).

The spelling of 56345 in words is "fifty-six thousand, three hundred forty-five".