8117201 has 2 divisors, whose sum is σ = 8117202. Its totient is φ = 8117200.

The previous prime is 8117191. The next prime is 8117203. The reversal of 8117201 is 1027118.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8116801 + 400 = 2849^2 + 20^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8117201 is a prime.

Together with 8117203, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₅₄₇₁₀₃ and since 8117201 and 547103 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (8117203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4058600 + 4058601.

It is an arithmetic number, because the mean of its divisors is an integer number (4058601).

Almost surely, 2^8117201 is an apocalyptic number.

It is an amenable number.

8117201 is a deficient number, since it is larger than the sum of its proper divisors (1).

8117201 is an equidigital number, since it uses as much as digits as its factorization.

8117201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 8117201 is about 2849.0701992053. The cubic root of 8117201 is about 200.9719439731.

The spelling of 8117201 in words is "eight million, one hundred seventeen thousand, two hundred one".