22637 has 2 divisors, whose sum is σ = 22638. Its totient is φ = 22636.

The previous prime is 22621. The next prime is 22639. The reversal of 22637 is 73622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17161 + 5476 = 131^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 22637 - 2⁴ = 22621 is a prime.

Together with 22639, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 7 and base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22639) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11318 + 11319.

It is an arithmetic number, because the mean of its divisors is an integer number (11319).

2²²⁶³⁷ is an apocalyptic number.

It is an amenable number.

22637 is a deficient number, since it is larger than the sum of its proper divisors (1).

22637 is an equidigital number, since it uses as much as digits as its factorization.

22637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 20.

The square root of 22637 is about 150.4559736268. The cubic root of 22637 is about 28.2882636014.

The spelling of 22637 in words is "twenty-two thousand, six hundred thirty-seven".