829044 has 18 divisors (see below), whose sum is σ = 2095730. Its totient is φ = 276336.

The previous prime is 829013. The next prime is 829057. The reversal of 829044 is 440928.

829044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 19044 = 900^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 828999 and 829017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829044.

It is an unprimeable number.

829044 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11479 + ... + 11550.

2⁸²⁹⁰⁴⁴ is an apocalyptic number.

It is an amenable number.

829044 is an abundant number, since it is smaller than the sum of its proper divisors (1266686).

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

829044 is a wasteful number, since it uses less digits than its factorization.

829044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23039 (or 23034 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 829044 is about 910.5185335840. The cubic root of 829044 is about 93.9418683883.

The spelling of 829044 in words is "eight hundred twenty-nine thousand, forty-four".