10007317 has 2 divisors, whose sum is σ = 10007318. Its totient is φ = 10007316.

The previous prime is 10007311. The next prime is 10007329. The reversal of 10007317 is 71370001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9480241 + 527076 = 3079^2 + 726^2 .

It is an emirp because it is prime and its reverse (71370001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10007317 is a prime.

It is a super-3 number, since 3×10007317³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10007294 and 10007303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003658 + 5003659.

It is an arithmetic number, because the mean of its divisors is an integer number (5003659).

Almost surely, 2^10007317 is an apocalyptic number.

It is an amenable number.

10007317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007317 is an equidigital number, since it uses as much as digits as its factorization.

10007317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 10007317 is about 3163.4343678983. The cubic root of 10007317 is about 215.4960028544.

Adding to 10007317 its reverse (71370001), we get a palindrome (81377318).

The spelling of 10007317 in words is "ten million, seven thousand, three hundred seventeen".