3887 has 6 divisors (see below), whose sum is σ = 4392. Its totient is φ = 3432.

The previous prime is 3881. The next prime is 3889. The reversal of 3887 is 7883.

3887 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 3887 - 2⁶ = 3823 is a prime.

It is a Duffinian number.

3887 is an undulating number in base 16.

It is a plaindrome in base 6 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3881) 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, 158 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (732).

2³⁸⁸⁷ is an apocalyptic number.

3887 is a deficient number, since it is larger than the sum of its proper divisors (505).

3887 is a wasteful number, since it uses less digits than its factorization.

3887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 3887 is about 62.3458098031. The cubic root of 3887 is about 15.7231001317.

It can be divided in two parts, 38 and 87, that added together give a cube (125 = 5³).

The spelling of 3887 in words is "three thousand, eight hundred eighty-seven".