829105225 has 24 divisors (see below), whose sum is σ = 1114295000. Its totient is φ = 608325120.

The previous prime is 829105217. The next prime is 829105241. The reversal of 829105225 is 522501928.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 416649744 + 412455481 = 20412^2 + 20309^2 .

It is not a de Polignac number, because 829105225 - 2³ = 829105217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42901 + ... + 59149.

Almost surely, 2^829105225 is an apocalyptic number.

It is an amenable number.

829105225 is a deficient number, since it is larger than the sum of its proper divisors (285189775).

829105225 is a wasteful number, since it uses less digits than its factorization.

829105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16429 (or 16424 counting only the distinct ones).

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

The square root of 829105225 is about 28794.1873474491. The cubic root of 829105225 is about 939.4418087088.

The spelling of 829105225 in words is "eight hundred twenty-nine million, one hundred five thousand, two hundred twenty-five".