22764 has 24 divisors (see below), whose sum is σ = 60928. Its totient is φ = 6480.

The previous prime is 22751. The next prime is 22769. The reversal of 22764 is 46722.

It is a happy number.

22764 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 22764.

It is not an unprimeable number, because it can be changed into a prime (22769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 219.

2²²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

22764 is an abundant number, since it is smaller than the sum of its proper divisors (38164).

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 (30464).

22764 is a wasteful number, since it uses less digits than its factorization.

22764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 22764 is about 150.8774337003. The cubic root of 22764 is about 28.3410667087.

Adding to 22764 its product of digits (672), we get a triangular number (23436 = T₂₁₆).

The spelling of 22764 in words is "twenty-two thousand, seven hundred sixty-four".