22592 has 14 divisors (see below), whose sum is σ = 44958. Its totient is φ = 11264.

The previous prime is 22573. The next prime is 22613. The reversal of 22592 is 29522.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 4096 = 136^2 + 64^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22592.

It is an unprimeable number.

22592 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113 + ... + 240.

2²²⁵⁹² is an apocalyptic number.

It is an amenable number.

22592 is a deficient number, since it is larger than the sum of its proper divisors (22366).

22592 is an equidigital number, since it uses as much as digits as its factorization.

22592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 22592 is about 150.3063538244. The cubic root of 22592 is about 28.2695064589.

It can be divided in two parts, 2 and 2592, that multiplied together give a square (5184 = 72²).

The spelling of 22592 in words is "twenty-two thousand, five hundred ninety-two".