16985 has 8 divisors (see below), whose sum is σ = 21120. Its totient is φ = 13104.

The previous prime is 16981. The next prime is 16987. The reversal of 16985 is 58961.

16985 is digitally balanced in base 6, 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 16985 - 2² = 16981 is a prime.

It is an alternating number because its digits alternate between odd and even.

16985 is strictly pandigital in base 6.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (2640).

2¹⁶⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

16985 is a deficient number, since it is larger than the sum of its proper divisors (4135).

16985 is an equidigital number, since it uses as much as digits as its factorization.

16985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its digits is 2160, while the sum is 29.

The square root of 16985 is about 130.3265130355. The cubic root of 16985 is about 25.7052510883.

It can be divided in two parts, 169 and 85, that multiplied together give a triangular number (14365 = T₁₆₉).

The spelling of 16985 in words is "sixteen thousand, nine hundred eighty-five".