829591241 has 2 divisors, whose sum is σ = 829591242. Its totient is φ = 829591240.

The previous prime is 829591187. The next prime is 829591267. The reversal of 829591241 is 142195928.

829591241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 483780025 + 345811216 = 21995^2 + 18596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829591241 is a prime.

It is not a weakly prime, because it can be changed into another prime (829596241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414795620 + 414795621.

It is an arithmetic number, because the mean of its divisors is an integer number (414795621).

Almost surely, 2^829591241 is an apocalyptic number.

It is an amenable number.

829591241 is a deficient number, since it is larger than the sum of its proper divisors (1).

829591241 is an equidigital number, since it uses as much as digits as its factorization.

829591241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 41.

The square root of 829591241 is about 28802.6255921227. The cubic root of 829591241 is about 939.6253377109.

The spelling of 829591241 in words is "eight hundred twenty-nine million, five hundred ninety-one thousand, two hundred forty-one".