564312 has 32 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 161184.

The previous prime is 564307. The next prime is 564313. The reversal of 564312 is 213465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564313) by changing a digit.

564312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1512 + ... + 1847.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2⁵⁶⁴³¹² is an apocalyptic number.

It is an amenable number.

564312 is an abundant number, since it is smaller than the sum of its proper divisors (1048488).

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

564312 is a wasteful number, since it uses less digits than its factorization.

564312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 564312 is about 751.2070287211. The cubic root of 564312 is about 82.6367246170.

Adding to 564312 its reverse (213465), we get a palindrome (777777).

The spelling of 564312 in words is "five hundred sixty-four thousand, three hundred twelve".