91117 has 8 divisors (see below), whose sum is σ = 101024. Its totient is φ = 81648.

The previous prime is 91099. The next prime is 91121. The reversal of 91117 is 71119.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 91117 - 2⁷ = 90989 is a prime.

It is an Ulam number.

It is a Duffinian number.

91117 is a modest number, since divided by 117 gives 91 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 91094 and 91103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91127) 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 7 ways as a sum of consecutive naturals, for example, 478 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (12628).

2⁹¹¹¹⁷ is an apocalyptic number.

It is an amenable number.

91117 is a deficient number, since it is larger than the sum of its proper divisors (9907).

91117 is a wasteful number, since it uses less digits than its factorization.

91117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its digits is 63, while the sum is 19.

The square root of 91117 is about 301.8559258984. The cubic root of 91117 is about 44.9986830890.

The spelling of 91117 in words is "ninety-one thousand, one hundred seventeen".