132585 has 8 divisors (see below), whose sum is σ = 212160. Its totient is φ = 70704.

The previous prime is 132547. The next prime is 132589. The reversal of 132585 is 585231.

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

It is not a de Polignac number, because 132585 - 2⁸ = 132329 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132585.

It is not an unprimeable number, because it can be changed into a prime (132589) 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, 4405 + ... + 4434.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

2¹³²⁵⁸⁵ is an apocalyptic number.

132585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132585 is a deficient number, since it is larger than the sum of its proper divisors (79575).

132585 is an equidigital number, since it uses as much as digits as its factorization.

132585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847.

The product of its digits is 1200, while the sum is 24.

The square root of 132585 is about 364.1222322243. The cubic root of 132585 is about 50.9915403115.

It can be divided in two parts, 132 and 585, that added together give a palindrome (717).

The spelling of 132585 in words is "one hundred thirty-two thousand, five hundred eighty-five".