23753 has 2 divisors, whose sum is σ = 23754. Its totient is φ = 23752.

The previous prime is 23747. The next prime is 23761. The reversal of 23753 is 35732.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21904 + 1849 = 148^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 23753 - 2⁶ = 23689 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23753.

It is not a weakly prime, because it can be changed into another prime (23743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11876 + 11877.

It is an arithmetic number, because the mean of its divisors is an integer number (11877).

2²³⁷⁵³ is an apocalyptic number.

It is an amenable number.

23753 is a deficient number, since it is larger than the sum of its proper divisors (1).

23753 is an equidigital number, since it uses as much as digits as its factorization.

23753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 20.

The square root of 23753 is about 154.1200830521. The cubic root of 23753 is about 28.7456956379.

It can be divided in two parts, 237 and 53, that multiplied together give a triangular number (12561 = T₁₅₈).

The spelling of 23753 in words is "twenty-three thousand, seven hundred fifty-three".