829209282221 has 2 divisors, whose sum is σ = 829209282222. Its totient is φ = 829209282220.

The previous prime is 829209282191. The next prime is 829209282263. The reversal of 829209282221 is 122282902928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 763327226596 + 65882055625 = 873686^2 + 256675^2 .

It is a cyclic number.

It is not a de Polignac number, because 829209282221 - 2¹⁴ = 829209265837 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829209242221) 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, 414604641110 + 414604641111.

It is an arithmetic number, because the mean of its divisors is an integer number (414604641111).

Almost surely, 2^829209282221 is an apocalyptic number.

It is an amenable number.

829209282221 is a deficient number, since it is larger than the sum of its proper divisors (1).

829209282221 is an equidigital number, since it uses as much as digits as its factorization.

829209282221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 829209282221 in words is "eight hundred twenty-nine billion, two hundred nine million, two hundred eighty-two thousand, two hundred twenty-one".