7971017 has 2 divisors, whose sum is σ = 7971018. Its totient is φ = 7971016.

The previous prime is 7970993. The next prime is 7971031. The reversal of 7971017 is 7101797.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7458361 + 512656 = 2731^2 + 716^2 .

It is an emirp because it is prime and its reverse (7101797) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7971017 - 2⁸ = 7970761 is a prime.

It is a super-2 number, since 2×7971017² = 127074224028578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7971217) 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 as a sum of consecutive naturals, namely, 3985508 + 3985509.

It is an arithmetic number, because the mean of its divisors is an integer number (3985509).

Almost surely, 2^7971017 is an apocalyptic number.

It is an amenable number.

7971017 is a deficient number, since it is larger than the sum of its proper divisors (1).

7971017 is an equidigital number, since it uses as much as digits as its factorization.

7971017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3087, while the sum is 32.

The square root of 7971017 is about 2823.2989568942. The cubic root of 7971017 is about 199.7581827399.

The spelling of 7971017 in words is "seven million, nine hundred seventy-one thousand, seventeen".