220585 has 8 divisors (see below), whose sum is σ = 267336. Its totient is φ = 174720.

The previous prime is 220579. The next prime is 220589. The reversal of 220585 is 585022.

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 200704 = 141^2 + 448^2 .

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

It is not a de Polignac number, because 220585 - 2⁵ = 220553 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (220589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (33417).

2²²⁰⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

220585 is a deficient number, since it is larger than the sum of its proper divisors (46751).

220585 is a wasteful number, since it uses less digits than its factorization.

220585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 220585 is about 469.6647740676. The cubic root of 220585 is about 60.4215681055.

The spelling of 220585 in words is "two hundred twenty thousand, five hundred eighty-five".