7971617 has 2 divisors, whose sum is σ = 7971618. Its totient is φ = 7971616.

The previous prime is 7971611. The next prime is 7971643. The reversal of 7971617 is 7161797.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7447441 + 524176 = 2729^2 + 724^2 .

It is a cyclic number.

It is not a de Polignac number, because 7971617 - 2¹² = 7967521 is a prime.

It is not a weakly prime, because it can be changed into another prime (7971611) 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, 3985808 + 3985809.

It is an arithmetic number, because the mean of its divisors is an integer number (3985809).

Almost surely, 2^7971617 is an apocalyptic number.

It is an amenable number.

7971617 is a deficient number, since it is larger than the sum of its proper divisors (1).

7971617 is an equidigital number, since it uses as much as digits as its factorization.

7971617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18522, while the sum is 38.

The square root of 7971617 is about 2823.4052135675. The cubic root of 7971617 is about 199.7631947270.

The spelling of 7971617 in words is "seven million, nine hundred seventy-one thousand, six hundred seventeen".