222585 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 100800.

The previous prime is 222557. The next prime is 222587. The reversal of 222585 is 585222.

It is not a de Polignac number, because 222585 - 2⁵ = 222553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222587) 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 31 ways as a sum of consecutive naturals, for example, 3100 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2²²²⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

222585 is a deficient number, since it is larger than the sum of its proper divisors (192135).

222585 is a wasteful number, since it uses less digits than its factorization.

222585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109.

The product of its digits is 1600, while the sum is 24.

The square root of 222585 is about 471.7891478192. The cubic root of 222585 is about 60.6036290565.

The spelling of 222585 in words is "two hundred twenty-two thousand, five hundred eighty-five".