8105977973417 has 2 divisors, whose sum is σ = 8105977973418. Its totient is φ = 8105977973416.

The previous prime is 8105977973339. The next prime is 8105977973419. The reversal of 8105977973417 is 7143797795018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7881601441561 + 224376531856 = 2807419^2 + 473684^2 .

It is a cyclic number.

It is not a de Polignac number, because 8105977973417 - 2²⁶ = 8105910864553 is a prime.

Together with 8105977973419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8105977973419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4052988986708 + 4052988986709.

It is an arithmetic number, because the mean of its divisors is an integer number (4052988986709).

Almost surely, 2^{8105977973417} is an apocalyptic number.

It is an amenable number.

8105977973417 is a deficient number, since it is larger than the sum of its proper divisors (1).

8105977973417 is an equidigital number, since it uses as much as digits as its factorization.

8105977973417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93350880, while the sum is 68.

The spelling of 8105977973417 in words is "eight trillion, one hundred five billion, nine hundred seventy-seven million, nine hundred seventy-three thousand, four hundred seventeen".