329967225 has 81 divisors (see below), whose sum is σ = 691496013. Its totient is φ = 149970240.

The previous prime is 329967199. The next prime is 329967271. The reversal of 329967225 is 522769923.

It is a happy number.

The square root of 329967225 is 18165.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36324729 + 293642496 = 6027^2 + 17136^2 .

It is not a de Polignac number, because 329967225 - 2⁹ = 329966713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1907239 + ... + 1907411.

Almost surely, 2^329967225 is an apocalyptic number.

329967225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

329967225 is the 18165-th square number.

329967225 is the 9083-rd centered octagonal number.

It is an amenable number.

329967225 is an abundant number, since it is smaller than the sum of its proper divisors (361528788).

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

329967225 is a wasteful number, since it uses less digits than its factorization.

329967225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The cubic root of 329967225 is about 691.0194445547.

The spelling of 329967225 in words is "three hundred twenty-nine million, nine hundred sixty-seven thousand, two hundred twenty-five".