22584 has 16 divisors (see below), whose sum is σ = 56520. Its totient is φ = 7520.

The previous prime is 22573. The next prime is 22613. The reversal of 22584 is 48522.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 22584.

It is a congruent number.

It is an unprimeable number.

22584 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, 447 + ... + 494.

2²²⁵⁸⁴ is an apocalyptic number.

22584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22584 is an abundant number, since it is smaller than the sum of its proper divisors (33936).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28260).

22584 is a wasteful number, since it uses less digits than its factorization.

22584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 22584 is about 150.2797391534. The cubic root of 22584 is about 28.2661692488.

It can be divided in two parts, 22 and 584, that added together give a palindrome (606).

The spelling of 22584 in words is "twenty-two thousand, five hundred eighty-four".