22884 has 12 divisors (see below), whose sum is σ = 53424. Its totient is φ = 7624.

The previous prime is 22877. The next prime is 22901. The reversal of 22884 is 48822.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is an unprimeable number.

22884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 942 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

2²²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

22884 is an abundant number, since it is smaller than the sum of its proper divisors (30540).

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 (26712).

22884 is a wasteful number, since it uses less digits than its factorization.

22884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1912 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 22884 is about 151.2745847788. The cubic root of 22884 is about 28.3907792588.

The spelling of 22884 in words is "twenty-two thousand, eight hundred eighty-four".