3987 has 6 divisors (see below), whose sum is σ = 5772. Its totient is φ = 2652.

The previous prime is 3967. The next prime is 3989. The reversal of 3987 is 7893.

It is a happy number.

It is not a de Polignac number, because 3987 - 2⁶ = 3923 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 9 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3987.

It is not an unprimeable number, because it can be changed into a prime (3989) 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, 213 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (962).

2³⁹⁸⁷ is an apocalyptic number.

3987 is a deficient number, since it is larger than the sum of its proper divisors (1785).

3987 is a wasteful number, since it uses less digits than its factorization.

3987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 446 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 3987 is about 63.1426955395. The cubic root of 3987 is about 15.8567950113.

It can be divided in two parts, 3 and 987, that added together give a triangular number (990 = T₄₄).

The spelling of 3987 in words is "three thousand, nine hundred eighty-seven".