22205 has 4 divisors (see below), whose sum is σ = 26652. Its totient is φ = 17760.

The previous prime is 22193. The next prime is 22229. The reversal of 22205 is 50222.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50222 = 2 ⋅25111.

It can be written as a sum of positive squares in 2 ways, for example, as 8281 + 13924 = 91^2 + 118^2 .

It is not a de Polignac number, because 22205 - 2⁴ = 22189 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2216 + ... + 2225.

It is an arithmetic number, because the mean of its divisors is an integer number (6663).

2²²²⁰⁵ is an apocalyptic number.

It is an amenable number.

22205 is a deficient number, since it is larger than the sum of its proper divisors (4447).

22205 is an equidigital number, since it uses as much as digits as its factorization.

22205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 22205 is about 149.0134222142. The cubic root of 22205 is about 28.1071574073.

Adding to 22205 its reverse (50222), we get a palindrome (72427).

The spelling of 22205 in words is "twenty-two thousand, two hundred five".