22013 has 2 divisors, whose sum is σ = 22014. Its totient is φ = 22012.

The previous prime is 22003. The next prime is 22027. The reversal of 22013 is 31022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 1849 = 142^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 22013 - 2⁴ = 21997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11006 + 11007.

It is an arithmetic number, because the mean of its divisors is an integer number (11007).

2²²⁰¹³ is an apocalyptic number.

It is an amenable number.

22013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22013 is an equidigital number, since it uses as much as digits as its factorization.

22013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 22013 is about 148.3677862610. The cubic root of 22013 is about 28.0259113882.

Adding to 22013 its reverse (31022), we get a palindrome (53035).

Subtracting 22013 from its reverse (31022), we obtain a palindrome (9009).

The spelling of 22013 in words is "twenty-two thousand, thirteen".