829172225 has 48 divisors (see below), whose sum is σ = 1209922560. Its totient is φ = 551880000.

The previous prime is 829172189. The next prime is 829172237. The reversal of 829172225 is 522271928.

It is a happy number.

It is not a de Polignac number, because 829172225 - 2¹⁰ = 829171201 is a prime.

It is a super-2 number, since 2×829172225² = 1375053157422901250, which contains 22 as substring.

It is an unprimeable number.

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, 1888556 + ... + 1888994.

It is an arithmetic number, because the mean of its divisors is an integer number (25206720).

Almost surely, 2^829172225 is an apocalyptic number.

It is an amenable number.

829172225 is a deficient number, since it is larger than the sum of its proper divisors (380750335).

829172225 is a wasteful number, since it uses less digits than its factorization.

829172225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 745 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 829172225 is about 28795.3507532032. The cubic root of 829172225 is about 939.4671134606.

The spelling of 829172225 in words is "eight hundred twenty-nine million, one hundred seventy-two thousand, two hundred twenty-five".