91701 has 12 divisors (see below), whose sum is σ = 138528. Its totient is φ = 58344.

The previous prime is 91691. The next prime is 91703. The reversal of 91701 is 10719.

It is not a de Polignac number, because 91701 - 2⁷ = 91573 is a prime.

91701 is a lucky number.

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 91701.

It is not an unprimeable number, because it can be changed into a prime (91703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (11544).

2⁹¹⁷⁰¹ is an apocalyptic number.

It is an amenable number.

91701 is a deficient number, since it is larger than the sum of its proper divisors (46827).

91701 is a wasteful number, since it uses less digits than its factorization.

91701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 469 counting only the distinct ones).

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

The square root of 91701 is about 302.8217297355. The cubic root of 91701 is about 45.0946157390.

Adding to 91701 its sum of digits (18), we get a palindrome (91719).

The spelling of 91701 in words is "ninety-one thousand, seven hundred one".