6817 has 4 divisors (see below), whose sum is σ = 7236. Its totient is φ = 6400.

The previous prime is 6803. The next prime is 6823. The reversal of 6817 is 7186.

6817 = 2⁸ + 3⁸.

6817 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7186 = 2 ⋅3593.

It can be written as a sum of positive squares in 2 ways, for example, as 6241 + 576 = 79^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 6817 - 2⁷ = 6689 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6827) 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, 184 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (1809).

2⁶⁸¹⁷ is an apocalyptic number.

It is an amenable number.

6817 is a deficient number, since it is larger than the sum of its proper divisors (419).

6817 is a wasteful number, since it uses less digits than its factorization.

6817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418.

The product of its digits is 336, while the sum is 22.

The square root of 6817 is about 82.5651258099. The cubic root of 6817 is about 18.9611394094.

It can be divided in two parts, 68 and 17, that multiplied together give a square (1156 = 34²).

The spelling of 6817 in words is "six thousand, eight hundred seventeen".