10008217 has 2 divisors, whose sum is σ = 10008218. Its totient is φ = 10008216.

The previous prime is 10008199. The next prime is 10008221. The reversal of 10008217 is 71280001.

10008217 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., 7639696 + 2368521 = 2764^2 + 1539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10008217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10008194 and 10008203.

It is not a weakly prime, because it can be changed into another prime (10008247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004108 + 5004109.

It is an arithmetic number, because the mean of its divisors is an integer number (5004109).

Almost surely, 2^10008217 is an apocalyptic number.

It is an amenable number.

10008217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10008217 is an equidigital number, since it uses as much as digits as its factorization.

10008217 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 19.

The square root of 10008217 is about 3163.5766151620. The cubic root of 10008217 is about 215.5024628139.

Adding to 10008217 its reverse (71280001), we get a palindrome (81288218).

The spelling of 10008217 in words is "ten million, eight thousand, two hundred seventeen".