22573 has 2 divisors, whose sum is σ = 22574. Its totient is φ = 22572.

The previous prime is 22571. The next prime is 22613. The reversal of 22573 is 37522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13924 + 8649 = 118^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 22573 - 2¹ = 22571 is a prime.

Together with 22571, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 2⁹ + 2¹¹ + 5⁵ + 7⁵ + 3⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 22573.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22571) 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 as a sum of consecutive naturals, namely, 11286 + 11287.

It is an arithmetic number, because the mean of its divisors is an integer number (11287).

2²²⁵⁷³ is an apocalyptic number.

It is an amenable number.

22573 is a deficient number, since it is larger than the sum of its proper divisors (1).

22573 is an equidigital number, since it uses as much as digits as its factorization.

22573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 19.

The square root of 22573 is about 150.2431362825. The cubic root of 22573 is about 28.2615792978.

It can be divided in two parts, 22 and 573, that added together give a palindrome (595).

The spelling of 22573 in words is "twenty-two thousand, five hundred seventy-three".