17713 has 2 divisors, whose sum is σ = 17714. Its totient is φ = 17712.

The previous prime is 17707. The next prime is 17729. The reversal of 17713 is 31771.

It is a happy number.

17713 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 289 = 132^2 + 17^2 .

It is an emirp because it is prime and its reverse (31771) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 17713 - 2⁵ = 17681 is a prime.

17713 is a lucky number.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (17783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8856 + 8857.

It is an arithmetic number, because the mean of its divisors is an integer number (8857).

2¹⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

17713 is a deficient number, since it is larger than the sum of its proper divisors (1).

17713 is an equidigital number, since it uses as much as digits as its factorization.

17713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 147, while the sum is 19.

The square root of 17713 is about 133.0901949807. The cubic root of 17713 is about 26.0673794747.

It can be divided in two parts, 177 and 13, that added together give a triangular number (190 = T₁₉).

The spelling of 17713 in words is "seventeen thousand, seven hundred thirteen".