7982017 has 2 divisors, whose sum is σ = 7982018. Its totient is φ = 7982016.

The previous prime is 7981999. The next prime is 7982021. The reversal of 7982017 is 7102897.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7750656 + 231361 = 2784^2 + 481^2 .

It is an emirp because it is prime and its reverse (7102897) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7982017 - 2⁷ = 7981889 is a prime.

It is a super-4 number, since 4×7982017⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

7982017 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (7982087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3991008 + 3991009.

It is an arithmetic number, because the mean of its divisors is an integer number (3991009).

Almost surely, 2^7982017 is an apocalyptic number.

It is an amenable number.

7982017 is a deficient number, since it is larger than the sum of its proper divisors (1).

7982017 is an equidigital number, since it uses as much as digits as its factorization.

7982017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 7982017 is about 2825.2463609392. The cubic root of 7982017 is about 199.8500292386.

The spelling of 7982017 in words is "seven million, nine hundred eighty-two thousand, seventeen".