829812083 has 2 divisors, whose sum is σ = 829812084. Its totient is φ = 829812082.

The previous prime is 829812029. The next prime is 829812091. The reversal of 829812083 is 380218928.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 829812083 - 2¹² = 829807987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829812083.

It is not a weakly prime, because it can be changed into another prime (829812383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414906041 + 414906042.

It is an arithmetic number, because the mean of its divisors is an integer number (414906042).

Almost surely, 2^829812083 is an apocalyptic number.

829812083 is a deficient number, since it is larger than the sum of its proper divisors (1).

829812083 is an equidigital number, since it uses as much as digits as its factorization.

829812083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 829812083 is about 28806.4590500117. The cubic root of 829812083 is about 939.7087082183.

The spelling of 829812083 in words is "eight hundred twenty-nine million, eight hundred twelve thousand, eighty-three".