133585 has 4 divisors (see below), whose sum is σ = 160308. Its totient is φ = 106864.

The previous prime is 133583. The next prime is 133597. The reversal of 133585 is 585331.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 585331 = 683 ⋅857.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 96721 = 192^2 + 311^2 .

It is a cyclic number.

It is not a de Polignac number, because 133585 - 2¹ = 133583 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133583) 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 3 ways as a sum of consecutive naturals, for example, 13354 + ... + 13363.

It is an arithmetic number, because the mean of its divisors is an integer number (40077).

2¹³³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

133585 is a deficient number, since it is larger than the sum of its proper divisors (26723).

133585 is an equidigital number, since it uses as much as digits as its factorization.

133585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26722.

The product of its digits is 1800, while the sum is 25.

The square root of 133585 is about 365.4928179869. The cubic root of 133585 is about 51.1194177146.

The spelling of 133585 in words is "one hundred thirty-three thousand, five hundred eighty-five".