431564 has 12 divisors (see below), whose sum is σ = 863184. Its totient is φ = 184944.

The previous prime is 431533. The next prime is 431567. The reversal of 431564 is 465134.

It is a happy number.

431564 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (431567) by changing a digit.

431564 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 3 ways as a sum of consecutive naturals, for example, 7679 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (71932).

2⁴³¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

431564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

431564 is a wasteful number, since it uses less digits than its factorization.

431564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15422 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 431564 is about 656.9353088395. The cubic root of 431564 is about 75.5698226934.

Adding to 431564 its reverse (465134), we get a palindrome (896698).

The spelling of 431564 in words is "four hundred thirty-one thousand, five hundred sixty-four".