114564 has 12 divisors (see below), whose sum is σ = 267344. Its totient is φ = 38184.

The previous prime is 114553. The next prime is 114571. The reversal of 114564 is 465411.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 114564.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4762 + ... + 4785.

2¹¹⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

114564 is an abundant number, since it is smaller than the sum of its proper divisors (152780).

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

114564 is a wasteful number, since it uses less digits than its factorization.

114564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9554 (or 9552 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 114564 is about 338.4730417626. The cubic root of 114564 is about 48.5679071430.

Adding to 114564 its reverse (465411), we get a palindrome (579975).

The spelling of 114564 in words is "one hundred fourteen thousand, five hundred sixty-four".