23733 has 10 divisors (see below), whose sum is σ = 35574. Its totient is φ = 15768.

The previous prime is 23719. The next prime is 23741. The reversal of 23733 is 33732.

23733 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 324 = 153^2 + 18^2 .

It is not a de Polignac number, because 23733 - 2⁶ = 23669 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23743) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 66 + ... + 227.

2²³⁷³³ is an apocalyptic number.

It is an amenable number.

23733 is a deficient number, since it is larger than the sum of its proper divisors (11841).

23733 is an equidigital number, since it uses as much as digits as its factorization.

23733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its digits is 378, while the sum is 18.

The square root of 23733 is about 154.0551849176. The cubic root of 23733 is about 28.7376254243.

Subtracting 23733 from its reverse (33732), we obtain a palindrome (9999).

The spelling of 23733 in words is "twenty-three thousand, seven hundred thirty-three".