6811 has 6 divisors (see below), whose sum is σ = 7980. Its totient is φ = 5796.

The previous prime is 6803. The next prime is 6823. The reversal of 6811 is 1186.

It is not a de Polignac number, because 6811 - 2³ = 6803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

6811 is a deficient number, since it is larger than the sum of its proper divisors (1169).

6811 is a wasteful number, since it uses less digits than its factorization.

With its successor (6812) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (146).

6811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 6811 is about 82.5287828579. The cubic root of 6811 is about 18.9555748781.

Adding to 6811 its product of digits (48), we get a cube (6859 = 19³).

Adding to 6811 its reverse (1186), we get a palindrome (7997).

Subtracting from 6811 its reverse (1186), we obtain a square (5625 = 75²).

The spelling of 6811 in words is "six thousand, eight hundred eleven".