23713 has 4 divisors (see below), whose sum is σ = 24768. Its totient is φ = 22660.

The previous prime is 23689. The next prime is 23719. The reversal of 23713 is 31732.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 23713 - 2⁹ = 23201 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23719) 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 in 3 ways as a sum of consecutive naturals, for example, 493 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (6192).

2²³⁷¹³ is an apocalyptic number.

23713 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23713 is a deficient number, since it is larger than the sum of its proper divisors (1055).

23713 is a wasteful number, since it uses less digits than its factorization.

23713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054.

The product of its digits is 126, while the sum is 16.

The square root of 23713 is about 153.9902594322. The cubic root of 23713 is about 28.7295506756.

It can be divided in two parts, 237 and 13, that multiplied together give a triangular number (3081 = T₇₈).

The spelling of 23713 in words is "twenty-three thousand, seven hundred thirteen".