828346033 has 2 divisors, whose sum is σ = 828346034. Its totient is φ = 828346032.

The previous prime is 828345929. The next prime is 828346039. The reversal of 828346033 is 330643828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 506610064 + 321735969 = 22508^2 + 17937^2 .

It is a cyclic number.

It is not a de Polignac number, because 828346033 - 2⁹ = 828345521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 828345983 and 828346001.

It is not a weakly prime, because it can be changed into another prime (828346039) 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, 414173016 + 414173017.

It is an arithmetic number, because the mean of its divisors is an integer number (414173017).

Almost surely, 2^828346033 is an apocalyptic number.

It is an amenable number.

828346033 is a deficient number, since it is larger than the sum of its proper divisors (1).

828346033 is an equidigital number, since it uses as much as digits as its factorization.

828346033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 828346033 is about 28781.0012508252. The cubic root of 828346033 is about 939.1549796121.

The spelling of 828346033 in words is "eight hundred twenty-eight million, three hundred forty-six thousand, thirty-three".