91589085 has 72 divisors (see below), whose sum is σ = 187532280. Its totient is φ = 41223168.

The previous prime is 91589053. The next prime is 91589087. The reversal of 91589085 is 58098519.

It can be written as a sum of positive squares in 4 ways, for example, as 2683044 + 88906041 = 1638^2 + 9429^2 .

It is not a de Polignac number, because 91589085 - 2⁵ = 91589053 is a prime.

It is a super-2 number, since 2×91589085² = 16777120982274450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 91589085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91589087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160681 + ... + 161249.

It is an arithmetic number, because the mean of its divisors is an integer number (2604615).

Almost surely, 2^91589085 is an apocalyptic number.

It is an amenable number.

91589085 is an abundant number, since it is smaller than the sum of its proper divisors (95943195).

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

91589085 is a wasteful number, since it uses less digits than its factorization.

91589085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 91589085 is about 9570.2186495398. The cubic root of 91589085 is about 450.7626327321.

It can be divided in two parts, 915 and 89085, that added together give a square (90000 = 300²).

The spelling of 91589085 in words is "ninety-one million, five hundred eighty-nine thousand, eighty-five".