220575 has 24 divisors (see below), whose sum is σ = 388368. Its totient is φ = 110080.

The previous prime is 220573. The next prime is 220579. The reversal of 220575 is 575022.

It is not a de Polignac number, because 220575 - 2¹ = 220573 is a prime.

220575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (16182).

2²²⁰⁵⁷⁵ is an apocalyptic number.

220575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220575 is a deficient number, since it is larger than the sum of its proper divisors (167793).

220575 is a wasteful number, since it uses less digits than its factorization.

220575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 220575 is about 469.6541280560. The cubic root of 220575 is about 60.4206550412.

Adding to 220575 its reverse (575022), we get a palindrome (795597).

The spelling of 220575 in words is "two hundred twenty thousand, five hundred seventy-five".