829885041 has 16 divisors (see below), whose sum is σ = 1229939200. Its totient is φ = 553040784.

The previous prime is 829885031. The next prime is 829885051. The reversal of 829885041 is 140588928.

It is a happy number.

829885041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (829885031) and next prime (829885051).

It is not a de Polignac number, because 829885041 - 2⁵ = 829885009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829885031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96000 + ... + 104286.

It is an arithmetic number, because the mean of its divisors is an integer number (76871200).

Almost surely, 2^829885041 is an apocalyptic number.

It is an amenable number.

829885041 is a deficient number, since it is larger than the sum of its proper divisors (400054159).

829885041 is a wasteful number, since it uses less digits than its factorization.

829885041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 829885041 is about 28807.7253701156. The cubic root of 829885041 is about 939.7362474890.

It can be divided in two parts, 8298 and 85041, that added together give a palindrome (93339).

The spelling of 829885041 in words is "eight hundred twenty-nine million, eight hundred eighty-five thousand, forty-one".