6887 has 4 divisors (see below), whose sum is σ = 7056. Its totient is φ = 6720.

The previous prime is 6883. The next prime is 6899. The reversal of 6887 is 7886.

6887 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 7886 = 2 ⋅3943.

It is a cyclic number.

It is not a de Polignac number, because 6887 - 2^{2} = 6883 is a prime.

It is a Duffinian number.

6887 is an undulating number in base 6.

Its product of digits (2688) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 6887.

It is not an unprimeable number, because it can be changed into a prime (6883) 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, 23 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2^{6887} is an apocalyptic number.

6887 is a deficient number, since it is larger than the sum of its proper divisors (169).

6887 is an equidigital number, since it uses as much as digits as its factorization.

6887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 2688, while the sum is 29.

The square root of 6887 is about 82.9879509327. The cubic root of 6887 is about 19.0258190077.

Subtracting 6887 from its reverse (7886), we obtain a palindrome (999).

The spelling of 6887 in words is "six thousand, eight hundred eighty-seven".

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