829948275 has 168 divisors, whose sum is σ = 1730472576. Its totient is φ = 391910400.

The previous prime is 829948271. The next prime is 829948283. The reversal of 829948275 is 572849928.

829948275 is a `hidden beast` number, since 8 + 2 + 99 + 482 + 75 = 666.

It is not a de Polignac number, because 829948275 - 2² = 829948271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829948271) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 7344619 + ... + 7344731.

It is an arithmetic number, because the mean of its divisors is an integer number (10300432).

Almost surely, 2^829948275 is an apocalyptic number.

829948275 is an abundant number, since it is smaller than the sum of its proper divisors (900524301).

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

829948275 is a wasteful number, since it uses less digits than its factorization.

829948275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 829948275 is about 28808.8228673092. The cubic root of 829948275 is about 939.7601149605.

The spelling of 829948275 in words is "eight hundred twenty-nine million, nine hundred forty-eight thousand, two hundred seventy-five".