16983 has 16 divisors (see below), whose sum is σ = 27360. Its totient is φ = 10368.

The previous prime is 16981. The next prime is 16987. The reversal of 16983 is 38961.

It is not a de Polignac number, because 16983 - 2¹ = 16981 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2¹⁶⁹⁸³ is an apocalyptic number.

16983 is a deficient number, since it is larger than the sum of its proper divisors (10377).

16983 is a wasteful number, since it uses less digits than its factorization.

16983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 16983 is about 130.3188397738. The cubic root of 16983 is about 25.7042421094.

It can be divided in two parts, 169 and 83, that added together give a palindrome (252).

The spelling of 16983 in words is "sixteen thousand, nine hundred eighty-three".