829252933 has 2 divisors, whose sum is σ = 829252934. Its totient is φ = 829252932.

The previous prime is 829252927. The next prime is 829252951. The reversal of 829252933 is 339252928.

829252933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 483032484 + 346220449 = 21978^2 + 18607^2 .

It is a cyclic number.

It is not a de Polignac number, because 829252933 - 2²¹ = 827155781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829252933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829252973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414626466 + 414626467.

It is an arithmetic number, because the mean of its divisors is an integer number (414626467).

Almost surely, 2^829252933 is an apocalyptic number.

It is an amenable number.

829252933 is a deficient number, since it is larger than the sum of its proper divisors (1).

829252933 is an equidigital number, since it uses as much as digits as its factorization.

829252933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 233280, while the sum is 43.

The square root of 829252933 is about 28796.7521258909. The cubic root of 829252933 is about 939.4975936791.

It can be divided in two parts, 82925 and 2933, that added together give a palindrome (85858).

The spelling of 829252933 in words is "eight hundred twenty-nine million, two hundred fifty-two thousand, nine hundred thirty-three".