22638 has 32 divisors (see below), whose sum is σ = 57600. Its totient is φ = 5880.

The previous prime is 22637. The next prime is 22639. The reversal of 22638 is 83622.

22638 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (22637) and next prime (22639).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2053 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2²²⁶³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800).

22638 is an abundant number, since it is smaller than the sum of its proper divisors (34962).

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

22638 is a wasteful number, since it uses less digits than its factorization.

22638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 23 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 22638 is about 150.4592968214. The cubic root of 22638 is about 28.2886801444.

The spelling of 22638 in words is "twenty-two thousand, six hundred thirty-eight".