10117817 has 2 divisors, whose sum is σ = 10117818. Its totient is φ = 10117816.

The previous prime is 10117801. The next prime is 10117829. The reversal of 10117817 is 71871101.

10117817 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., 5837056 + 4280761 = 2416^2 + 2069^2 .

It is a cyclic number.

It is not a de Polignac number, because 10117817 - 2⁴ = 10117801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10117837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058908 + 5058909.

It is an arithmetic number, because the mean of its divisors is an integer number (5058909).

Almost surely, 2^10117817 is an apocalyptic number.

It is an amenable number.

10117817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117817 is an equidigital number, since it uses as much as digits as its factorization.

10117817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 26.

The square root of 10117817 is about 3180.8516155269. The cubic root of 10117817 is about 216.2862645364.

Adding to 10117817 its reverse (71871101), we get a palindrome (81988918).

The spelling of 10117817 in words is "ten million, one hundred seventeen thousand, eight hundred seventeen".