829836 has 72 divisors (see below), whose sum is σ = 2489760. Its totient is φ = 228096.

The previous prime is 829831. The next prime is 829841. The reversal of 829836 is 638928.

It is an interprime number because it is at equal distance from previous prime (829831) and next prime (829841).

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

It is a self number, because there is not a number n which added to its sum of digits gives 829836.

It is not an unprimeable number, because it can be changed into a prime (829831) by changing a digit.

829836 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 23 ways as a sum of consecutive naturals, for example, 9280 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2⁸²⁹⁸³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880).

829836 is an abundant number, since it is smaller than the sum of its proper divisors (1659924).

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

829836 is a wasteful number, since it uses less digits than its factorization.

829836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

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

The square root of 829836 is about 910.9533467747. The cubic root of 829836 is about 93.9717736285.

The spelling of 829836 in words is "eight hundred twenty-nine thousand, eight hundred thirty-six".