829332938 has 48 divisors (see below), whose sum is σ = 1529205120. Its totient is φ = 335409984.

The previous prime is 829332937. The next prime is 829332961. The reversal of 829332938 is 839233928.

It is a junction number, because it is equal to n+sod(n) for n = 829332892 and 829332901.

It is not an unprimeable number, because it can be changed into a prime (829332937) 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 23 ways as a sum of consecutive naturals, for example, 582095 + ... + 583517.

It is an arithmetic number, because the mean of its divisors is an integer number (31858440).

Almost surely, 2^829332938 is an apocalyptic number.

829332938 is a deficient number, since it is larger than the sum of its proper divisors (699872182).

829332938 is a wasteful number, since it uses less digits than its factorization.

829332938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 829332938 is about 28798.1412247388. The cubic root of 829332938 is about 939.5278064505.

The spelling of 829332938 in words is "eight hundred twenty-nine million, three hundred thirty-two thousand, nine hundred thirty-eight".