220545 has 36 divisors (see below), whose sum is σ = 428220. Its totient is φ = 104832.

The previous prime is 220543. The next prime is 220553. The reversal of 220545 is 545022.

220545 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 41616 + 178929 = 204^2 + 423^2 .

It is not a de Polignac number, because 220545 - 2¹ = 220543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7591 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (11895).

2²²⁰⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

220545 is a deficient number, since it is larger than the sum of its proper divisors (207675).

220545 is a wasteful number, since it uses less digits than its factorization.

220545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 220545 is about 469.6221885729. The cubic root of 220545 is about 60.4179156830.

Adding to 220545 its reverse (545022), we get a palindrome (765567).

It can be divided in two parts, 2205 and 45, that multiplied together give a square (99225 = 315²).

The spelling of 220545 in words is "two hundred twenty thousand, five hundred forty-five".