829228121 has 2 divisors, whose sum is σ = 829228122. Its totient is φ = 829228120.

The previous prime is 829228111. The next prime is 829228129. The reversal of 829228121 is 121822928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 559086025 + 270142096 = 23645^2 + 16436^2 .

It is a cyclic number.

It is not a de Polignac number, because 829228121 - 2¹⁰ = 829227097 is a prime.

It is not a weakly prime, because it can be changed into another prime (829228129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414614060 + 414614061.

It is an arithmetic number, because the mean of its divisors is an integer number (414614061).

Almost surely, 2^829228121 is an apocalyptic number.

It is an amenable number.

829228121 is a deficient number, since it is larger than the sum of its proper divisors (1).

829228121 is an equidigital number, since it uses as much as digits as its factorization.

829228121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 35.

The square root of 829228121 is about 28796.3213101952. The cubic root of 829228121 is about 939.4882233789.

The spelling of 829228121 in words is "eight hundred twenty-nine million, two hundred twenty-eight thousand, one hundred twenty-one".