23629 has 2 divisors, whose sum is σ = 23630. Its totient is φ = 23628.

The previous prime is 23627. The next prime is 23633. The reversal of 23629 is 92632.

23629 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 10404 = 115^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 23629 - 2¹ = 23627 is a prime.

Together with 23627, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11814 + 11815.

It is an arithmetic number, because the mean of its divisors is an integer number (11815).

2²³⁶²⁹ is an apocalyptic number.

It is an amenable number.

23629 is a deficient number, since it is larger than the sum of its proper divisors (1).

23629 is an equidigital number, since it uses as much as digits as its factorization.

23629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 22.

The square root of 23629 is about 153.7172729396. The cubic root of 23629 is about 28.6955870628.

The spelling of 23629 in words is "twenty-three thousand, six hundred twenty-nine".