9977412817 has 2 divisors, whose sum is σ = 9977412818. Its totient is φ = 9977412816.

The previous prime is 9977412749. The next prime is 9977412821. The reversal of 9977412817 is 7182147799.

9977412817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7039881216 + 2937531601 = 83904^2 + 54199^2 .

It is a cyclic number.

It is not a de Polignac number, because 9977412817 - 2¹¹ = 9977410769 is a prime.

It is not a weakly prime, because it can be changed into another prime (9977412827) 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, 4988706408 + 4988706409.

It is an arithmetic number, because the mean of its divisors is an integer number (4988706409).

Almost surely, 2^9977412817 is an apocalyptic number.

It is an amenable number.

9977412817 is a deficient number, since it is larger than the sum of its proper divisors (1).

9977412817 is an equidigital number, since it uses as much as digits as its factorization.

9977412817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1778112, while the sum is 55.

The square root of 9977412817 is about 99887.0002402715. Note that the first 3 decimals coincide. The cubic root of 9977412817 is about 2152.8113801977.

The spelling of 9977412817 in words is "nine billion, nine hundred seventy-seven million, four hundred twelve thousand, eight hundred seventeen".