16887 has 8 divisors (see below), whose sum is σ = 24304. Its totient is φ = 10368.

The previous prime is 16883. The next prime is 16889. The reversal of 16887 is 78861.

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

It is not a de Polignac number, because 16887 - 2² = 16883 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16887.

It is not an unprimeable number, because it can be changed into a prime (16883) 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, 178 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2¹⁶⁸⁸⁷ is an apocalyptic number.

16887 is a deficient number, since it is larger than the sum of its proper divisors (7417).

16887 is a wasteful number, since it uses less digits than its factorization.

16887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its digits is 2688, while the sum is 30.

The square root of 16887 is about 129.9499903809. The cubic root of 16887 is about 25.6557176740.

It can be divided in two parts, 16 and 887, that added together give a triangular number (903 = T₄₂).

The spelling of 16887 in words is "sixteen thousand, eight hundred eighty-seven".