225603361 has 8 divisors (see below), whose sum is σ = 234274824. Its totient is φ = 217082880.

The previous prime is 225603349. The next prime is 225603377. The reversal of 225603361 is 163306522.

It can be written as a sum of positive squares in 4 ways, for example, as 30470400 + 195132961 = 5520^2 + 13969^2 .

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 225603361 - 2¹⁵ = 225570593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225603061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34696 + ... + 40681.

It is an arithmetic number, because the mean of its divisors is an integer number (29284353).

Almost surely, 2^225603361 is an apocalyptic number.

It is an amenable number.

225603361 is a deficient number, since it is larger than the sum of its proper divisors (8671463).

225603361 is an equidigital number, since it uses as much as digits as its factorization.

225603361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75491.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 225603361 is about 15020.0985682518. The cubic root of 225603361 is about 608.7633829754.

Adding to 225603361 its reverse (163306522), we get a palindrome (388909883).

It can be divided in two parts, 22560 and 3361, that added together give a square (25921 = 161²).

The spelling of 225603361 in words is "two hundred twenty-five million, six hundred three thousand, three hundred sixty-one".