829116 has 36 divisors (see below), whose sum is σ = 2175992. Its totient is φ = 276048.

The previous prime is 829111. The next prime is 829121. The reversal of 829116 is 611928.

It is an interprime number because it is at equal distance from previous prime (829111) and next prime (829121).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 829116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829111) by changing a digit.

829116 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 11 ways as a sum of consecutive naturals, for example, 546 + ... + 1398.

2⁸²⁹¹¹⁶ 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 829116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087996).

829116 is an abundant number, since it is smaller than the sum of its proper divisors (1346876).

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

829116 is a wasteful number, since it uses less digits than its factorization.

829116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 829116 is about 910.5580706358. The cubic root of 829116 is about 93.9445878334.

The spelling of 829116 in words is "eight hundred twenty-nine thousand, one hundred sixteen".