22113 has 24 divisors (see below), whose sum is σ = 40768. Its totient is φ = 11664.

The previous prime is 22111. The next prime is 22123. The reversal of 22113 is 31122.

22113 = 9³ + 10³ + ... + 17³.

It is a happy number.

It is not a de Polignac number, because 22113 - 2¹ = 22111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

22113 is a lucky number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 22095 and 22104.

It is not an unprimeable number, because it can be changed into a prime (22111) 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 23 ways as a sum of consecutive naturals, for example, 1695 + ... + 1707.

2²²¹¹³ is an apocalyptic number.

It is an amenable number.

22113 is a deficient number, since it is larger than the sum of its proper divisors (18655).

22113 is an equidigital number, since it uses as much as digits as its factorization.

22113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 23 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 22113 is about 148.7044047767. The cubic root of 22113 is about 28.0682857121.

Multiplying 22113 by its product of digits (12), we get a triangular number (265356 = T₇₂₈).

Adding to 22113 its reverse (31122), we get a palindrome (53235).

Subtracting 22113 from its reverse (31122), we obtain a palindrome (9009).

The spelling of 22113 in words is "twenty-two thousand, one hundred thirteen".