829543313 has 2 divisors, whose sum is σ = 829543314. Its totient is φ = 829543312.

The previous prime is 829543193. The next prime is 829543343. The reversal of 829543313 is 313345928.

829543313 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., 430023169 + 399520144 = 20737^2 + 19988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829543313 is a prime.

It is equal to p_42586256 and since 829543313 and 42586256 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (829543343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414771656 + 414771657.

It is an arithmetic number, because the mean of its divisors is an integer number (414771657).

Almost surely, 2^829543313 is an apocalyptic number.

It is an amenable number.

829543313 is a deficient number, since it is larger than the sum of its proper divisors (1).

829543313 is an equidigital number, since it uses as much as digits as its factorization.

829543313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 38.

The square root of 829543313 is about 28801.7935726232. The cubic root of 829543313 is about 939.6072423613.

The spelling of 829543313 in words is "eight hundred twenty-nine million, five hundred forty-three thousand, three hundred thirteen".