59585 has 8 divisors (see below), whose sum is σ = 75816. Its totient is φ = 44800.

The previous prime is 59581. The next prime is 59611. The reversal of 59585 is 58595.

59585 = 51² + 52² + ... + 67².

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 36481 = 152^2 + 191^2 .

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

It is not a de Polignac number, because 59585 - 2² = 59581 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59581) 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, 266 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (9477).

2⁵⁹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

59585 is a deficient number, since it is larger than the sum of its proper divisors (16231).

59585 is a wasteful number, since it uses less digits than its factorization.

59585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

The product of its digits is 9000, while the sum is 32.

The square root of 59585 is about 244.1003891845. The cubic root of 59585 is about 39.0582080618.

Subtracting from 59585 its reverse (58595), we obtain a triangular number (990 = T₄₄).

The spelling of 59585 in words is "fifty-nine thousand, five hundred eighty-five".