22605 has 16 divisors (see below), whose sum is σ = 39744. Its totient is φ = 10880.

The previous prime is 22573. The next prime is 22613. The reversal of 22605 is 50622.

It is not a de Polignac number, because 22605 - 2⁵ = 22573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 22605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (2484).

2²²⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

22605 is a deficient number, since it is larger than the sum of its proper divisors (17139).

22605 is a wasteful number, since it uses less digits than its factorization.

22605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22605 is about 150.3495926167. The cubic root of 22605 is about 28.2749277454.

The spelling of 22605 in words is "twenty-two thousand, six hundred five".