6711 has 4 divisors (see below), whose sum is σ = 8952. Its totient is φ = 4472.

The previous prime is 6709. The next prime is 6719. The reversal of 6711 is 1176.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 6711 - 2^{1} = 6709 is a prime.

It is a D-number.

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, 1116 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (2238).

2^{6711} is an apocalyptic number.

6711 is a deficient number, since it is larger than the sum of its proper divisors (2241).

6711 is a wasteful number, since it uses less digits than its factorization.

6711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240.

The product of its digits is 42, while the sum is 15.

The square root of 6711 is about 81.9206933564. The cubic root of 6711 is about 18.8623477040.

Adding to 6711 its reverse (1176), we get a palindrome (7887).

It can be divided in two parts, 67 and 11, that multiplied together give a palindrome (737).

The spelling of 6711 in words is "six thousand, seven hundred eleven".

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