6867 has 12 divisors (see below), whose sum is σ = 11440. Its totient is φ = 3888.

The previous prime is 6863. The next prime is 6869. The reversal of 6867 is 7686.

It is not a de Polignac number, because 6867 - 2² = 6863 is a prime.

It is a Duffinian number.

6867 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6867.

It is not an unprimeable number, because it can be changed into a prime (6863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9 + ... + 117.

2⁶⁸⁶⁷ is an apocalyptic number.

6867 is a deficient number, since it is larger than the sum of its proper divisors (4573).

6867 is a wasteful number, since it uses less digits than its factorization.

With its successor (6868) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (122).

6867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 119 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 6867 is about 82.8673639016. The cubic root of 6867 is about 19.0073840182.

Subtracting from 6867 its product of digits (2016), we obtain a triangular number (4851 = T₉₈).

The spelling of 6867 in words is "six thousand, eight hundred sixty-seven".