91164 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 29680.

The previous prime is 91163. The next prime is 91183. The reversal of 91164 is 46119.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 91164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁹¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

91164 is an abundant number, since it is smaller than the sum of its proper divisors (126564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

91164 is a wasteful number, since it uses less digits than its factorization.

91164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 91164 is about 301.9337675716. The cubic root of 91164 is about 45.0064188375.

The spelling of 91164 in words is "ninety-one thousand, one hundred sixty-four".