22984 has 24 divisors (see below), whose sum is σ = 49410. Its totient is φ = 9984.

The previous prime is 22973. The next prime is 22993. The reversal of 22984 is 48922.

It can be written as a sum of positive squares in 3 ways, for example, as 14884 + 8100 = 122^2 + 90^2 .

Its product of digits (1152) is a multiple of the sum of its prime divisors (32).

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1344 + ... + 1360.

2²²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24705).

22984 is an abundant number, since it is smaller than the sum of its proper divisors (26426).

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

22984 is a wasteful number, since it uses less digits than its factorization.

22984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 32 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 22984 is about 151.6047492660. The cubic root of 22984 is about 28.4320737946.

It can be divided in two parts, 229 and 84, that added together give a palindrome (313).

The spelling of 22984 in words is "twenty-two thousand, nine hundred eighty-four".