22537 has 4 divisors (see below), whose sum is σ = 23296. Its totient is φ = 21780.

The previous prime is 22531. The next prime is 22541. The reversal of 22537 is 73522.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 73522 = 2 ⋅36761.

It is a cyclic number.

It is not a de Polignac number, because 22537 - 2⁷ = 22409 is a prime.

It is a d-powerful number, because it can be written as 2² + 2² + 5⁶ + 3⁸ + 7³ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2²²⁵³⁷ is an apocalyptic number.

It is an amenable number.

22537 is a deficient number, since it is larger than the sum of its proper divisors (759).

22537 is an equidigital number, since it uses as much as digits as its factorization.

22537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758.

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

The square root of 22537 is about 150.1232826713. The cubic root of 22537 is about 28.2465472064.

It can be divided in two parts, 225 and 37, that added together give a palindrome (262).

The spelling of 22537 in words is "twenty-two thousand, five hundred thirty-seven".