22164 has 12 divisors (see below), whose sum is σ = 51744. Its totient is φ = 7384.

The previous prime is 22159. The next prime is 22171. The reversal of 22164 is 46122.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

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 3 ways as a sum of consecutive naturals, for example, 912 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

2²²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

22164 is an abundant number, since it is smaller than the sum of its proper divisors (29580).

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 (25872).

22164 is a wasteful number, since it uses less digits than its factorization.

22164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1852 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 22164 is about 148.8757871516. The cubic root of 22164 is about 28.0898474402.

Adding to 22164 its reverse (46122), we get a palindrome (68286).

The spelling of 22164 in words is "twenty-two thousand, one hundred sixty-four".