22005 has 16 divisors (see below), whose sum is σ = 39360. Its totient is φ = 11664.

The previous prime is 22003. The next prime is 22013. The reversal of 22005 is 50022.

It is not a de Polignac number, because 22005 - 2¹ = 22003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (2460).

2²²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

22005 is a deficient number, since it is larger than the sum of its proper divisors (17355).

22005 is a wasteful number, since it uses less digits than its factorization.

22005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 22005 is about 148.3408237809. The cubic root of 22005 is about 28.0225159028.

Adding to 22005 its reverse (50022), we get a palindrome (72027).

The spelling of 22005 in words is "twenty-two thousand, five".