829944 has 24 divisors (see below), whose sum is σ = 2247960. Its totient is φ = 276624.

The previous prime is 829883. The next prime is 829949. The reversal of 829944 is 449928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 829899 and 829908.

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 829944.

It is not an unprimeable number, because it can be changed into a prime (829949) by changing a digit.

829944 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 5 ways as a sum of consecutive naturals, for example, 5692 + ... + 5835.

It is an arithmetic number, because the mean of its divisors is an integer number (93665).

2⁸²⁹⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

829944 is an abundant number, since it is smaller than the sum of its proper divisors (1418016).

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

829944 is a wasteful number, since it uses less digits than its factorization.

829944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11539 (or 11532 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 829944 is about 911.0126234032. The cubic root of 829944 is about 93.9758501414.

The spelling of 829944 in words is "eight hundred twenty-nine thousand, nine hundred forty-four".