91165824 has 112 divisors (see below), whose sum is σ = 272583270. Its totient is φ = 30357504.

The previous prime is 91165793. The next prime is 91165829. The reversal of 91165824 is 42856119.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 34012224 = 7560^2 + 5832^2 .

It is a super-2 number, since 2×91165824² = 16622414931197952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (91165829) 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 13 ways as a sum of consecutive naturals, for example, 92824 + ... + 93800.

Almost surely, 2^91165824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136291635).

91165824 is an abundant number, since it is smaller than the sum of its proper divisors (181417446).

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

91165824 is an frugal number, since it uses more digits than its factorization.

91165824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 982 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 91165824 is about 9548.0795974897. The cubic root of 91165824 is about 450.0671899673.

The spelling of 91165824 in words is "ninety-one million, one hundred sixty-five thousand, eight hundred twenty-four".