23813 has 2 divisors, whose sum is σ = 23814. Its totient is φ = 23812.

The previous prime is 23801. The next prime is 23819. The reversal of 23813 is 31832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 3364 = 143^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 23813 - 2⁸ = 23557 is a prime.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 23791 and 23800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23819) 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, 11906 + 11907.

It is an arithmetic number, because the mean of its divisors is an integer number (11907).

2²³⁸¹³ is an apocalyptic number.

It is an amenable number.

23813 is a deficient number, since it is larger than the sum of its proper divisors (1).

23813 is an equidigital number, since it uses as much as digits as its factorization.

23813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 17.

The square root of 23813 is about 154.3146136955. The cubic root of 23813 is about 28.7698791311.

It can be divided in two parts, 2 and 3813, that multiplied together give a triangular number (7626 = T₁₂₃).

The spelling of 23813 in words is "twenty-three thousand, eight hundred thirteen".