6717 has 4 divisors (see below), whose sum is σ = 8960. Its totient is φ = 4476.

The previous prime is 6709. The next prime is 6719. The reversal of 6717 is 7176.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 6717 - 2³ = 6709 is a prime.

It is a D-number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6693 and 6702.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1117 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2⁶⁷¹⁷ is an apocalyptic number.

It is an amenable number.

6717 is a deficient number, since it is larger than the sum of its proper divisors (2243).

6717 is a wasteful number, since it uses less digits than its factorization.

6717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242.

The product of its digits is 294, while the sum is 21.

The square root of 6717 is about 81.9573059587. The cubic root of 6717 is about 18.8679673521.

The spelling of 6717 in words is "six thousand, seven hundred seventeen".