6713 has 6 divisors (see below), whose sum is σ = 7866. Its totient is φ = 5712.

The previous prime is 6709. The next prime is 6719. The reversal of 6713 is 3176.

6713 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 784 = 77^2 + 28^2 .

It is not a de Polignac number, because 6713 - 2² = 6709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6691 and 6700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6719) 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 5 ways as a sum of consecutive naturals, for example, 20 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (1311).

2⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

6713 is a deficient number, since it is larger than the sum of its proper divisors (1153).

6713 is a wasteful number, since it uses less digits than its factorization.

6713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its digits is 126, while the sum is 17.

The square root of 6713 is about 81.9328993750. The cubic root of 6713 is about 18.8642212921.

Adding to 6713 its reverse (3176), we get a palindrome (9889).

It can be divided in two parts, 6 and 713, that multiplied together give a triangular number (4278 = T₉₂).

The spelling of 6713 in words is "six thousand, seven hundred thirteen".