8117101 has 2 divisors, whose sum is σ = 8117102. Its totient is φ = 8117100.

The previous prime is 8117099. The next prime is 8117111. The reversal of 8117101 is 1017118.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7590025 + 527076 = 2755^2 + 726^2 .

It is a cyclic number.

It is not a de Polignac number, because 8117101 - 2¹ = 8117099 is a prime.

Together with 8117099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8117111) 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, 4058550 + 4058551.

It is an arithmetic number, because the mean of its divisors is an integer number (4058551).

Almost surely, 2^8117101 is an apocalyptic number.

It is an amenable number.

8117101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8117101 is an equidigital number, since it uses as much as digits as its factorization.

8117101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

The square root of 8117101 is about 2849.0526495662. The cubic root of 8117101 is about 200.9711186773.

The spelling of 8117101 in words is "eight million, one hundred seventeen thousand, one hundred one".