7984001 has 2 divisors, whose sum is σ = 7984002. Its totient is φ = 7984000.

The previous prime is 7983979. The next prime is 7984003. The reversal of 7984001 is 1004897.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7974976 + 9025 = 2824^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 7984001 - 2¹⁰ = 7982977 is a prime.

Together with 7984003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7984003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3992000 + 3992001.

It is an arithmetic number, because the mean of its divisors is an integer number (3992001).

Almost surely, 2^7984001 is an apocalyptic number.

It is an amenable number.

7984001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7984001 is an equidigital number, since it uses as much as digits as its factorization.

7984001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 7984001 is about 2825.5974589456. The cubic root of 7984001 is about 199.8665860233.

Adding to 7984001 its reverse (1004897), we get a palindrome (8988898).

The spelling of 7984001 in words is "seven million, nine hundred eighty-four thousand, one".