16713 has 8 divisors (see below), whose sum is σ = 24800. Its totient is φ = 11124.

The previous prime is 16703. The next prime is 16729. The reversal of 16713 is 31761.

16713 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16713 - 2⁶ = 16649 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (3100).

2¹⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

16713 is a deficient number, since it is larger than the sum of its proper divisors (8087).

16713 is an equidigital number, since it uses as much as digits as its factorization.

16713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 16713 is about 129.2787685585. The cubic root of 16713 is about 25.5672962926.

It can be divided in two parts, 16 and 713, that added together give a 6-th power (729 = 3⁶).

The spelling of 16713 in words is "sixteen thousand, seven hundred thirteen".