829152025 has 27 divisors (see below), whose sum is σ = 1115839389. Its totient is φ = 610914720.

The previous prime is 829152017. The next prime is 829152029. The reversal of 829152025 is 520251928.

It is a happy number.

The square root of 829152025 is 28795.

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 213715161 + 615436864 = 14619^2 + 24808^2 .

It is not a de Polignac number, because 829152025 - 2³ = 829152017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829152029) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1871454 + ... + 1871896.

Almost surely, 2^829152025 is an apocalyptic number.

829152025 is the 28795-th square number.

829152025 is the 14398-th centered octagonal number.

It is an amenable number.

829152025 is a deficient number, since it is larger than the sum of its proper divisors (286687364).

829152025 is an equidigital number, since it uses as much as digits as its factorization.

829152025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The cubic root of 829152025 is about 939.4594844103.

Multiplying 829152025 by its product of nonzero digits (14400), we get a square (11939789160000 = 3455400²).

The spelling of 829152025 in words is "eight hundred twenty-nine million, one hundred fifty-two thousand, twenty-five".