103917 has 16 divisors (see below), whose sum is σ = 156672. Its totient is φ = 60720.

The previous prime is 103913. The next prime is 103919. The reversal of 103917 is 719301.

It is not a de Polignac number, because 103917 - 2² = 103913 is a prime.

103917 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 103893 and 103902.

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 103917.

It is not an unprimeable number, because it can be changed into a prime (103913) 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 in 15 ways as a sum of consecutive naturals, for example, 1518 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2¹⁰³⁹¹⁷ is an apocalyptic number.

It is an amenable number.

103917 is a deficient number, since it is larger than the sum of its proper divisors (52755).

103917 is a wasteful number, since it uses less digits than its factorization.

103917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 103917 is about 322.3615982092. The cubic root of 103917 is about 47.0141801185.

The spelling of 103917 in words is "one hundred three thousand, nine hundred seventeen".