18713 has 2 divisors, whose sum is σ = 18714. Its totient is φ = 18712.

The previous prime is 18701. The next prime is 18719. The reversal of 18713 is 31781.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17689 + 1024 = 133^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 18713 - 2⁸ = 18457 is a prime.

It is a plaindrome in base 6.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (18719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9356 + 9357.

It is an arithmetic number, because the mean of its divisors is an integer number (9357).

2¹⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

18713 is a deficient number, since it is larger than the sum of its proper divisors (1).

18713 is an equidigital number, since it uses as much as digits as its factorization.

18713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 20.

The square root of 18713 is about 136.7954677612. The cubic root of 18713 is about 26.5489778926.

Adding to 18713 its product of digits (168), we get a palindrome (18881).

The spelling of 18713 in words is "eighteen thousand, seven hundred thirteen".