221585 has 16 divisors (see below), whose sum is σ = 327936. Its totient is φ = 139968.

The previous prime is 221581. The next prime is 221587. The reversal of 221585 is 585122.

It is a cyclic number.

It is not a de Polignac number, because 221585 - 2² = 221581 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221585.

It is not an unprimeable number, because it can be changed into a prime (221581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2²²¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

221585 is a deficient number, since it is larger than the sum of its proper divisors (106351).

221585 is a wasteful number, since it uses less digits than its factorization.

221585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512.

The product of its digits is 800, while the sum is 23.

The square root of 221585 is about 470.7281593446. The cubic root of 221585 is about 60.5127355199.

The spelling of 221585 in words is "two hundred twenty-one thousand, five hundred eighty-five".