16687 has 8 divisors (see below), whose sum is σ = 19152. Its totient is φ = 14400.

The previous prime is 16673. The next prime is 16691. The reversal of 16687 is 78661.

16687 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 16687 - 2¹¹ = 14639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2¹⁶⁶⁸⁷ is an apocalyptic number.

16687 is the 82-nd heptagonal number.

16687 is a deficient number, since it is larger than the sum of its proper divisors (2465).

16687 is a wasteful number, since it uses less digits than its factorization.

16687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89.

The product of its digits is 2016, while the sum is 28.

The square root of 16687 is about 129.1781715306. The cubic root of 16687 is about 25.5540312750.

It can be divided in two parts, 166 and 87, that added together give a triangular number (253 = T₂₂).

The spelling of 16687 in words is "sixteen thousand, six hundred eighty-seven".