14564 has 12 divisors (see below), whose sum is σ = 27888. Its totient is φ = 6600.

The previous prime is 14563. The next prime is 14591. The reversal of 14564 is 46541.

It is a happy number.

14564 is nontrivially palindromic in base 3.

14564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14564² = 424220192, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 11 and base 14.

It is not an unprimeable number, because it can be changed into a prime (14561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (2324).

2¹⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

14564 is a deficient number, since it is larger than the sum of its proper divisors (13324).

14564 is a wasteful number, since it uses less digits than its factorization.

14564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 14564 is about 120.6813987324. The cubic root of 14564 is about 24.4208189242.

The spelling of 14564 in words is "fourteen thousand, five hundred sixty-four".