17983 has 6 divisors (see below), whose sum is σ = 20976. Its totient is φ = 15372.

The previous prime is 17981. The next prime is 17987. The reversal of 17983 is 38971.

It is not a de Polignac number, because 17983 - 2¹ = 17981 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (3496).

2¹⁷⁹⁸³ is an apocalyptic number.

17983 is a deficient number, since it is larger than the sum of its proper divisors (2993).

17983 is an equidigital number, since it uses as much as digits as its factorization.

17983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 17983 is about 134.1007084247. The cubic root of 17983 is about 26.1991608612.

Subtracting from 17983 its sum of digits (28), we obtain a triangular number (17955 = T₁₈₉).

Subtracting from 17983 its product of digits (1512), we obtain a triangular number (16471 = T₁₈₁).

It can be divided in two parts, 179 and 83, that added together give a palindrome (262).

The spelling of 17983 in words is "seventeen thousand, nine hundred eighty-three".