9007117 has 16 divisors (see below), whose sum is σ = 10615680. Its totient is φ = 7483392.

The previous prime is 9007111. The next prime is 9007123. The reversal of 9007117 is 7117009.

It is an interprime number because it is at equal distance from previous prime (9007111) and next prime (9007123).

It is not a de Polignac number, because 9007117 - 2¹⁹ = 8482829 is a prime.

It is a super-2 number, since 2×9007117² = 162256313303378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9007091 and 9007100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46573 + ... + 46765.

It is an arithmetic number, because the mean of its divisors is an integer number (663480).

Almost surely, 2^9007117 is an apocalyptic number.

It is an amenable number.

9007117 is a deficient number, since it is larger than the sum of its proper divisors (1608563).

9007117 is a wasteful number, since it uses less digits than its factorization.

9007117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 441, while the sum is 25.

The square root of 9007117 is about 3001.1859322608. The cubic root of 9007117 is about 208.0631973277.

The spelling of 9007117 in words is "nine million, seven thousand, one hundred seventeen".