22386 has 32 divisors (see below), whose sum is σ = 56448. Its totient is φ = 5760.

The previous prime is 22381. The next prime is 22391. The reversal of 22386 is 68322.

22386 is nontrivially palindromic in base 5 and base 9.

It is an interprime number because it is at equal distance from previous prime (22381) and next prime (22391).

It is a super-2 number, since 2×22386² = 1002265992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22381) by changing a digit.

22386 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 15 ways as a sum of consecutive naturals, for example, 526 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2²²³⁸⁶ is an apocalyptic number.

22386 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224).

22386 is an abundant number, since it is smaller than the sum of its proper divisors (34062).

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

22386 is a wasteful number, since it uses less digits than its factorization.

22386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66.

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

The square root of 22386 is about 149.6195174434. The cubic root of 22386 is about 28.1833209554.

The spelling of 22386 in words is "twenty-two thousand, three hundred eighty-six".