220365 has 24 divisors (see below), whose sum is σ = 393120. Its totient is φ = 114144.

The previous prime is 220361. The next prime is 220369. The reversal of 220365 is 563022.

It is an interprime number because it is at equal distance from previous prime (220361) and next prime (220369).

It is not a de Polignac number, because 220365 - 2² = 220361 is a prime.

It is a Curzon number.

220365 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220365.

It is not an unprimeable number, because it can be changed into a prime (220361) 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 23 ways as a sum of consecutive naturals, for example, 2614 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²²⁰³⁶⁵ is an apocalyptic number.

It is an amenable number.

220365 is a deficient number, since it is larger than the sum of its proper divisors (172755).

220365 is a wasteful number, since it uses less digits than its factorization.

220365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 220365 is about 469.4305060390. The cubic root of 220365 is about 60.4014743146.

Adding to 220365 its reverse (563022), we get a palindrome (783387).

It can be divided in two parts, 220 and 365, that added together give a palindrome (585).

The spelling of 220365 in words is "two hundred twenty thousand, three hundred sixty-five".