10007417 has 6 divisors (see below), whose sum is σ = 11641338. Its totient is φ = 8577744.

The previous prime is 10007401. The next prime is 10007419. The reversal of 10007417 is 71470001.

10007417 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8934121 + 1073296 = 2989^2 + 1036^2 .

It is not a de Polignac number, because 10007417 - 2⁴ = 10007401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102068 + ... + 102165.

It is an arithmetic number, because the mean of its divisors is an integer number (1940223).

Almost surely, 2^10007417 is an apocalyptic number.

It is an amenable number.

10007417 is a deficient number, since it is larger than the sum of its proper divisors (1633921).

10007417 is an equidigital number, since it uses as much as digits as its factorization.

10007417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204247 (or 204240 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 10007417 is about 3163.4501734657. The cubic root of 10007417 is about 215.4967206468.

Adding to 10007417 its reverse (71470001), we get a palindrome (81477418).

The spelling of 10007417 in words is "ten million, seven thousand, four hundred seventeen".