829338 has 16 divisors (see below), whose sum is σ = 1668000. Its totient is φ = 274896.

The previous prime is 829319. The next prime is 829349. The reversal of 829338 is 833928.

It is a junction number, because it is equal to n+sod(n) for n = 829299 and 829308.

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 7 ways as a sum of consecutive naturals, for example, 1413 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (104250).

2⁸²⁹³³⁸ is an apocalyptic number.

829338 is an abundant number, since it is smaller than the sum of its proper divisors (838662).

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

829338 is a wasteful number, since it uses less digits than its factorization.

829338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781.

The product of its digits is 10368, while the sum is 33.

The square root of 829338 is about 910.6799657399. The cubic root of 829338 is about 93.9529717979.

The spelling of 829338 in words is "eight hundred twenty-nine thousand, three hundred thirty-eight".