220345 has 8 divisors (see below), whose sum is σ = 267264. Its totient is φ = 174384.

The previous prime is 220333. The next prime is 220351. The reversal of 220345 is 543022.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220345 - 2⁷ = 220217 is a prime.

It is a Duffinian number.

220345 is a lucky number.

It is a nialpdrome in base 12.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 462 + ... + 808.

It is an arithmetic number, because the mean of its divisors is an integer number (33408).

2²²⁰³⁴⁵ is an apocalyptic number.

It is an amenable number.

220345 is a deficient number, since it is larger than the sum of its proper divisors (46919).

220345 is a wasteful number, since it uses less digits than its factorization.

220345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 220345 is about 469.4092031480. The cubic root of 220345 is about 60.3996469432.

Adding to 220345 its reverse (543022), we get a palindrome (763367).

It can be divided in two parts, 220 and 345, that added together give a palindrome (565).

The spelling of 220345 in words is "two hundred twenty thousand, three hundred forty-five".