22505 has 8 divisors (see below), whose sum is σ = 30912. Its totient is φ = 15408.

The previous prime is 22501. The next prime is 22511. The reversal of 22505 is 50522.

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 22505 - 2² = 22501 is a prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 22505.

It is not an unprimeable number, because it can be changed into a prime (22501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (3864).

2²²⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

22505 is a deficient number, since it is larger than the sum of its proper divisors (8407).

22505 is an equidigital number, since it uses as much as digits as its factorization.

22505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 22505 is about 150.0166657408. The cubic root of 22505 is about 28.2331719027.

The spelling of 22505 in words is "twenty-two thousand, five hundred five".