7987 has 6 divisors (see below), whose sum is σ = 9348. Its totient is φ = 6804.

The previous prime is 7963. The next prime is 7993. The reversal of 7987 is 7897.

It is not a de Polignac number, because 7987 - 2¹¹ = 5939 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7907) 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, 33 + ... + 130.

It is an arithmetic number, because the mean of its divisors is an integer number (1558).

2⁷⁹⁸⁷ is an apocalyptic number.

7987 is a deficient number, since it is larger than the sum of its proper divisors (1361).

7987 is a wasteful number, since it uses less digits than its factorization.

7987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its digits is 3528, while the sum is 31.

The square root of 7987 is about 89.3700173436. The cubic root of 7987 is about 19.9891607933.

The spelling of 7987 in words is "seven thousand, nine hundred eighty-seven".