23633 has 2 divisors, whose sum is σ = 23634. Its totient is φ = 23632.

The previous prime is 23629. The next prime is 23663. The reversal of 23633 is 33632.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 529 = 152^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 23633 - 2² = 23629 is a prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (23603) 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, 11816 + 11817.

It is an arithmetic number, because the mean of its divisors is an integer number (11817).

2²³⁶³³ is an apocalyptic number.

It is an amenable number.

23633 is a deficient number, since it is larger than the sum of its proper divisors (1).

23633 is an equidigital number, since it uses as much as digits as its factorization.

23633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 17.

The square root of 23633 is about 153.7302832886. The cubic root of 23633 is about 28.6972062014.

Subtracting 23633 from its reverse (33632), we obtain a palindrome (9999).

It can be divided in two parts, 23 and 633, that added together give a palindrome (656).

The spelling of 23633 in words is "twenty-three thousand, six hundred thirty-three".