22705 has 8 divisors (see below), whose sum is σ = 28800. Its totient is φ = 17136.

The previous prime is 22699. The next prime is 22709. The reversal of 22705 is 50722.

It is a happy number.

22705 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22705 - 2³ = 22697 is a prime.

22705 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22709) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25 + ... + 214.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2²²⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

22705 is a deficient number, since it is larger than the sum of its proper divisors (6095).

22705 is a wasteful number, since it uses less digits than its factorization.

22705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 22705 is about 150.6817839024. The cubic root of 22705 is about 28.3165606227.

It can be divided in two parts, 22 and 705, that added together give a palindrome (727).

The spelling of 22705 in words is "twenty-two thousand, seven hundred five".