13887 has 6 divisors (see below), whose sum is σ = 20072. Its totient is φ = 9252.

The previous prime is 13883. The next prime is 13901. The reversal of 13887 is 78831.

It is not a de Polignac number, because 13887 - 2² = 13883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883) 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, 763 + ... + 780.

2¹³⁸⁸⁷ is an apocalyptic number.

13887 is a deficient number, since it is larger than the sum of its proper divisors (6185).

13887 is a wasteful number, since it uses less digits than its factorization.

13887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1546 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13887 is about 117.8431160484. The cubic root of 13887 is about 24.0364030894.

It can be divided in two parts, 138 and 87, that added together give a square (225 = 15²).

The spelling of 13887 in words is "thirteen thousand, eight hundred eighty-seven".