10917 has 6 divisors (see below), whose sum is σ = 15782. Its totient is φ = 7272.

The previous prime is 10909. The next prime is 10937. The reversal of 10917 is 71901.

10917 is digitally balanced in base 2, 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., 6561 + 4356 = 81^2 + 66^2 .

It is not a de Polignac number, because 10917 - 2³ = 10909 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 10917.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10917.

It is not an unprimeable number, because it can be changed into a prime (10937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 598 + ... + 615.

2¹⁰⁹¹⁷ is an apocalyptic number.

It is an amenable number.

10917 is a deficient number, since it is larger than the sum of its proper divisors (4865).

10917 is a wasteful number, since it uses less digits than its factorization.

10917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10917 is about 104.4844486036. The cubic root of 10917 is about 22.1837231553.

The spelling of 10917 in words is "ten thousand, nine hundred seventeen".