829038 has 16 divisors (see below), whose sum is σ = 1895040. Its totient is φ = 236856.

The previous prime is 829013. The next prime is 829057. The reversal of 829038 is 830928.

It is a junction number, because it is equal to n+sod(n) for n = 828996 and 829014.

It is a congruent number.

It is an unprimeable number.

829038 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 9828 + ... + 9911.

It is an arithmetic number, because the mean of its divisors is an integer number (118440).

2⁸²⁹⁰³⁸ is an apocalyptic number.

829038 is an abundant number, since it is smaller than the sum of its proper divisors (1066002).

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

829038 is a wasteful number, since it uses less digits than its factorization.

829038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19751.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 829038 is about 910.5152387522. The cubic root of 829038 is about 93.9416417608.

The spelling of 829038 in words is "eight hundred twenty-nine thousand, thirty-eight".