7984 has 10 divisors (see below), whose sum is σ = 15500. Its totient is φ = 3984.

The previous prime is 7963. The next prime is 7993. The reversal of 7984 is 4897.

It is a zygodrome in base 2.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 234 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (1550).

It is an amenable number.

7984 is a deficient number, since it is larger than the sum of its proper divisors (7516).

7984 is a wasteful number, since it uses less digits than its factorization.

7984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 7984 is about 89.3532316148. The cubic root of 7984 is about 19.9866577679.

Adding to 7984 its product of digits (2016), we get a 4-th power (10000 = 10⁴).

The spelling of 7984 in words is "seven thousand, nine hundred eighty-four".