91585 has 8 divisors (see below), whose sum is σ = 118440. Its totient is φ = 67584.

The previous prime is 91583. The next prime is 91591. The reversal of 91585 is 58519.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 87616 = 63^2 + 296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 91585 - 2¹ = 91583 is a prime.

91585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (91583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640 + ... + 769.

It is an arithmetic number, because the mean of its divisors is an integer number (14805).

2⁹¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

91585 is a deficient number, since it is larger than the sum of its proper divisors (26855).

91585 is a wasteful number, since it uses less digits than its factorization.

91585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427.

The product of its digits is 1800, while the sum is 28.

The square root of 91585 is about 302.6301372963. The cubic root of 91585 is about 45.0755931087.

It can be divided in two parts, 915 and 85, that added together give a cube (1000 = 10³).

The spelling of 91585 in words is "ninety-one thousand, five hundred eighty-five".