16684 has 12 divisors (see below), whose sum is σ = 30184. Its totient is φ = 8064.

The previous prime is 16673. The next prime is 16691. The reversal of 16684 is 48661.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1152) is a multiple of the sum of its prime factors (144).

It is a nialpdrome in base 7.

It is an unprimeable number.

16684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 220.

2¹⁶⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

16684 is a deficient number, since it is larger than the sum of its proper divisors (13500).

16684 is a wasteful number, since it uses less digits than its factorization.

16684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 16684 is about 129.1665591397. The cubic root of 16684 is about 25.5524998097.

The spelling of 16684 in words is "sixteen thousand, six hundred eighty-four".