22806 has 24 divisors (see below), whose sum is σ = 56784. Its totient is φ = 6480.

The previous prime is 22787. The next prime is 22807. The reversal of 22806 is 60822.

22806 = 15² + 16² + ... + 41².

It is a super-2 number, since 2×22806² = 1040227272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 (22807) by changing a digit.

22806 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 11 ways as a sum of consecutive naturals, for example, 36 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (2366).

2²²⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28392).

22806 is an abundant number, since it is smaller than the sum of its proper divisors (33978).

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

22806 is a wasteful number, since it uses less digits than its factorization.

22806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22806 is about 151.0165553838. The cubic root of 22806 is about 28.3584859305.

It can be divided in two parts, 22 and 806, that added together give a palindrome (828).

The spelling of 22806 in words is "twenty-two thousand, eight hundred six".