7983 has 6 divisors (see below), whose sum is σ = 11544. Its totient is φ = 5316.

The previous prime is 7963. The next prime is 7993. The reversal of 7983 is 3897.

It is a happy number.

7983 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7983 - 2⁵ = 7951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7933) 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, 435 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (1924).

2⁷⁹⁸³ is an apocalyptic number.

7983 is a deficient number, since it is larger than the sum of its proper divisors (3561).

7983 is a wasteful number, since it uses less digits than its factorization.

7983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 890 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 7983 is about 89.3476356710. The cubic root of 7983 is about 19.9858232867.

It can be divided in two parts, 7 and 983, that added together give a triangular number (990 = T₄₄).

The spelling of 7983 in words is "seven thousand, nine hundred eighty-three".