8192122417 has 2 divisors, whose sum is σ = 8192122418. Its totient is φ = 8192122416.

The previous prime is 8192122331. The next prime is 8192122439. The reversal of 8192122417 is 7142212918.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5763998241 + 2428124176 = 75921^2 + 49276^2 .

It is a cyclic number.

It is not a de Polignac number, because 8192122417 - 2¹¹ = 8192120369 is a prime.

It is a super-2 number, since 2×8192122417² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8192122717) 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, 4096061208 + 4096061209.

It is an arithmetic number, because the mean of its divisors is an integer number (4096061209).

Almost surely, 2^8192122417 is an apocalyptic number.

It is an amenable number.

8192122417 is a deficient number, since it is larger than the sum of its proper divisors (1).

8192122417 is an equidigital number, since it uses as much as digits as its factorization.

8192122417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 37.

The square root of 8192122417 is about 90510.3442541238. The cubic root of 8192122417 is about 2015.8837211721.

The spelling of 8192122417 in words is "eight billion, one hundred ninety-two million, one hundred twenty-two thousand, four hundred seventeen".