829108225 has 48 divisors (see below), whose sum is σ = 1192423680. Its totient is φ = 565531200.

The previous prime is 829108211. The next prime is 829108229. The reversal of 829108225 is 522801928.

It is not a de Polignac number, because 829108225 - 2²³ = 820719617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829108229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558334 + ... + 559816.

It is an arithmetic number, because the mean of its divisors is an integer number (24842160).

Almost surely, 2^829108225 is an apocalyptic number.

It is an amenable number.

829108225 is a deficient number, since it is larger than the sum of its proper divisors (363315455).

829108225 is a wasteful number, since it uses less digits than its factorization.

829108225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 829108225 is about 28794.2394412494. The cubic root of 829108225 is about 939.4429417866.

The spelling of 829108225 in words is "eight hundred twenty-nine million, one hundred eight thousand, two hundred twenty-five".