6815 has 8 divisors (see below), whose sum is σ = 8640. Its totient is φ = 5152.

The previous prime is 6803. The next prime is 6823. The reversal of 6815 is 5186.

6815 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6815 - 2¹⁰ = 5791 is a prime.

6815 is an undulating number in base 12.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2⁶⁸¹⁵ is an apocalyptic number.

6815 is a deficient number, since it is larger than the sum of its proper divisors (1825).

6815 is a wasteful number, since it uses less digits than its factorization.

6815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81.

The product of its digits is 240, while the sum is 20.

The square root of 6815 is about 82.5530132703. The cubic root of 6815 is about 18.9592849286.

It can be divided in two parts, 681 and 5, that added together give a palindrome (686).

The spelling of 6815 in words is "six thousand, eight hundred fifteen".