9917 has 4 divisors (see below), whose sum is σ = 10176. Its totient is φ = 9660.

The previous prime is 9907. The next prime is 9923. The reversal of 9917 is 7199.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7199 = 23 ⋅313.

It is a cyclic number.

It is not a de Polignac number, because 9917 - 2⁴ = 9901 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13 and base 16.

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 9917.

It is not an unprimeable number, because it can be changed into a prime (9907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (2544).

2⁹⁹¹⁷ is an apocalyptic number.

It is an amenable number.

9917 is a deficient number, since it is larger than the sum of its proper divisors (259).

9917 is a wasteful number, since it uses less digits than its factorization.

9917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 567, while the sum is 26.

The square root of 9917 is about 99.5841352827. The cubic root of 9917 is about 21.4845751992.

The spelling of 9917 in words is "nine thousand, nine hundred seventeen".