9983 has 4 divisors (see below), whose sum is σ = 10200. Its totient is φ = 9768.

The previous prime is 9973. The next prime is 10007. The reversal of 9983 is 3899.

9983 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3899 = 7 ⋅557.

It is a cyclic number.

It is not a de Polignac number, because 9983 - 2⁴ = 9967 is a prime.

It is an Ulam number.

It is a Duffinian number.

Its product of digits (1944) is a multiple of the sum of its prime divisors (216).

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (2550).

2⁹⁹⁸³ is an apocalyptic number.

9983 is a deficient number, since it is larger than the sum of its proper divisors (217).

9983 is a wasteful number, since it uses less digits than its factorization.

9983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its digits is 1944, while the sum is 29.

The square root of 9983 is about 99.9149638443. The cubic root of 9983 is about 21.5321315124.

Subtracting from 9983 its reverse (3899), we obtain a square (6084 = 78²).

It can be divided in two parts, 998 and 3, that added together give a palindrome (1001).

The spelling of 9983 in words is "nine thousand, nine hundred eighty-three".