16984 has 16 divisors (see below), whose sum is σ = 34920. Its totient is φ = 7680.

The previous prime is 16981. The next prime is 16987. The reversal of 16984 is 48961.

It is an interprime number because it is at equal distance from previous prime (16981) and next prime (16987).

It is a d-powerful number, because it can be written as 1 + 6 + 9² + 8³ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16981) by changing a digit.

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, 9 + ... + 184.

2¹⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

16984 is an abundant number, since it is smaller than the sum of its proper divisors (17936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460).

16984 is a wasteful number, since it uses less digits than its factorization.

16984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 16984 is about 130.3226764612. The cubic root of 16984 is about 25.7047466087.

It can be divided in two parts, 169 and 84, that multiplied together give a triangular number (14196 = T₁₆₈).

The spelling of 16984 in words is "sixteen thousand, nine hundred eighty-four".