564375 has 40 divisors (see below), whose sum is σ = 1099648. Its totient is φ = 252000.

The previous prime is 564373. The next prime is 564391. The reversal of 564375 is 573465.

564375 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 564375 - 2¹ = 564373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13104 + ... + 13146.

564375 is a Friedman number, since it can be written as 645*7*5^3, using all its digits and the basic arithmetic operations.

2⁵⁶⁴³⁷⁵ is an apocalyptic number.

564375 is a deficient number, since it is larger than the sum of its proper divisors (535273).

564375 is an equidigital number, since it uses as much as digits as its factorization.

564375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 564375 is about 751.2489600658. The cubic root of 564375 is about 82.6397997007.

Subtracting from 564375 its product of digits (12600), we obtain a triangular number (551775 = T₁₀₅₀).

It can be divided in two parts, 564 and 375, that added together give a palindrome (939).

The spelling of 564375 in words is "five hundred sixty-four thousand, three hundred seventy-five".