22365 has 24 divisors (see below), whose sum is σ = 44928. Its totient is φ = 10080.

The previous prime is 22349. The next prime is 22367. The reversal of 22365 is 56322.

22365 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 22365 - 2⁴ = 22349 is a prime.

22365 is an undulating number in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (1872).

2²²³⁶⁵ is an apocalyptic number.

It is an amenable number.

22365 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464).

22365 is a wasteful number, since it uses less digits than its factorization.

22365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 22365 is about 149.5493229674. The cubic root of 22365 is about 28.1745054024.

Adding to 22365 its reverse (56322), we get a palindrome (78687).

The spelling of 22365 in words is "twenty-two thousand, three hundred sixty-five".