22664 has 8 divisors (see below), whose sum is σ = 42510. Its totient is φ = 11328.

The previous prime is 22651. The next prime is 22669. The reversal of 22664 is 46622.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 2500 = 142^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12, base 15 and base 16.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22669) by changing a digit.

22664 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1409 + ... + 1424.

2²²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

22664 is a deficient number, since it is larger than the sum of its proper divisors (19846).

22664 is a wasteful number, since it uses less digits than its factorization.

22664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2835 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 22664 is about 150.5456741325. The cubic root of 22664 is about 28.2995059577.

It can be divided in two parts, 22 and 664, that added together give a palindrome (686).

The spelling of 22664 in words is "twenty-two thousand, six hundred sixty-four".