22689 has 6 divisors (see below), whose sum is σ = 32786. Its totient is φ = 15120.

The previous prime is 22679. The next prime is 22691. The reversal of 22689 is 98622.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 11025 = 108^2 + 105^2 .

It is not a de Polignac number, because 22689 - 2⁸ = 22433 is a prime.

It is a Duffinian number.

22689 is a lucky number.

It is a plaindrome in base 10 and base 12.

It is not an unprimeable number, because it can be changed into a prime (22619) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1252 + ... + 1269.

2²²⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

22689 is a deficient number, since it is larger than the sum of its proper divisors (10097).

22689 is a wasteful number, since it uses less digits than its factorization.

22689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2524 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 22689 is about 150.6286825276. The cubic root of 22689 is about 28.3099075883.

The spelling of 22689 in words is "twenty-two thousand, six hundred eighty-nine".