829252973 has 2 divisors, whose sum is σ = 829252974. Its totient is φ = 829252972.

The previous prime is 829252951. The next prime is 829252993. The reversal of 829252973 is 379252928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 681314404 + 147938569 = 26102^2 + 12163^2 .

It is a cyclic number.

It is not a de Polignac number, because 829252973 - 2⁸ = 829252717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829252933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414626486 + 414626487.

It is an arithmetic number, because the mean of its divisors is an integer number (414626487).

Almost surely, 2^829252973 is an apocalyptic number.

It is an amenable number.

829252973 is a deficient number, since it is larger than the sum of its proper divisors (1).

829252973 is an equidigital number, since it uses as much as digits as its factorization.

829252973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 47.

The square root of 829252973 is about 28796.7528204136. The cubic root of 829252973 is about 939.4976087851.

The spelling of 829252973 in words is "eight hundred twenty-nine million, two hundred fifty-two thousand, nine hundred seventy-three".