91611 has 24 divisors (see below), whose sum is σ = 152880. Its totient is φ = 54432.

The previous prime is 91591. The next prime is 91621. The reversal of 91611 is 11619.

It is not a de Polignac number, because 91611 - 2⁹ = 91099 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

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 91611.

It is not an unprimeable number, because it can be changed into a prime (91621) 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 23 ways as a sum of consecutive naturals, for example, 3145 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2⁹¹⁶¹¹ is an apocalyptic number.

91611 is a deficient number, since it is larger than the sum of its proper divisors (61269).

91611 is a wasteful number, since it uses less digits than its factorization.

91611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 91611 is about 302.6730909744. The cubic root of 91611 is about 45.0798581977.

The spelling of 91611 in words is "ninety-one thousand, six hundred eleven".