330225 has 48 divisors (see below), whose sum is σ = 678528. Its totient is φ = 138240.

The previous prime is 330217. The next prime is 330227. The reversal of 330225 is 522033.

It is not a de Polignac number, because 330225 - 2³ = 330217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

330225 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330225.

It is not an unprimeable number, because it can be changed into a prime (330227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8907 + ... + 8943.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2³³⁰²²⁵ is an apocalyptic number.

330225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

330225 is an abundant number, since it is smaller than the sum of its proper divisors (348303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330225 is a wasteful number, since it uses less digits than its factorization.

330225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 330225 is about 574.6520686468. The cubic root of 330225 is about 69.1199342394.

Adding to 330225 its reverse (522033), we get a palindrome (852258).

It can be divided in two parts, 330 and 225, that added together give a palindrome (555).

The spelling of 330225 in words is "three hundred thirty thousand, two hundred twenty-five".