9872840017 has 2 divisors, whose sum is σ = 9872840018. Its totient is φ = 9872840016.

The previous prime is 9872840009. The next prime is 9872840027. The reversal of 9872840017 is 7100482789.

9872840017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9579711376 + 293128641 = 97876^2 + 17121^2 .

It is a cyclic number.

It is not a de Polignac number, because 9872840017 - 2³ = 9872840009 is a prime.

It is a super-3 number, since 3×9872840017³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (9872840027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4936420008 + 4936420009.

It is an arithmetic number, because the mean of its divisors is an integer number (4936420009).

Almost surely, 2^9872840017 is an apocalyptic number.

It is an amenable number.

9872840017 is a deficient number, since it is larger than the sum of its proper divisors (1).

9872840017 is an equidigital number, since it uses as much as digits as its factorization.

9872840017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 9872840017 is about 99362.1659234540. The cubic root of 9872840017 is about 2145.2637777628.

The spelling of 9872840017 in words is "nine billion, eight hundred seventy-two million, eight hundred forty thousand, seventeen".