6987 has 8 divisors (see below), whose sum is σ = 9936. Its totient is φ = 4352.

The previous prime is 6983. The next prime is 6991. The reversal of 6987 is 7896.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6983) and next prime (6991).

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

It is not a de Polignac number, because 6987 - 2² = 6983 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6987.

It is not an unprimeable number, because it can be changed into a prime (6983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (1242).

2⁶⁹⁸⁷ is an apocalyptic number.

6987 is a deficient number, since it is larger than the sum of its proper divisors (2949).

6987 is a wasteful number, since it uses less digits than its factorization.

6987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its digits is 3024, while the sum is 30.

The square root of 6987 is about 83.5882766900. The cubic root of 6987 is about 19.1174625345.

Adding to 6987 its product of digits (3024), we get a triangular number (10011 = T₁₄₁).

Subtracting 6987 from its reverse (7896), we obtain a palindrome (909).

The spelling of 6987 in words is "six thousand, nine hundred eighty-seven".