22864 has 10 divisors (see below), whose sum is σ = 44330. Its totient is φ = 11424.

The previous prime is 22861. The next prime is 22871. The reversal of 22864 is 46822.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 8464 = 120^2 + 92^2 .

It is a d-powerful number, because it can be written as 2¹² + 2¹⁴ + 8² + 6⁴ + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 699 + ... + 730.

It is an arithmetic number, because the mean of its divisors is an integer number (4433).

2²²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

22864 is a deficient number, since it is larger than the sum of its proper divisors (21466).

22864 is a wasteful number, since it uses less digits than its factorization.

22864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1431 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 22864 is about 151.2084653715. The cubic root of 22864 is about 28.3825059225.

Adding to 22864 its product of digits (768), we get a palindrome (23632).

It can be divided in two parts, 228 and 64, that added together give a palindrome (292).

The spelling of 22864 in words is "twenty-two thousand, eight hundred sixty-four".