828080641 has 2 divisors, whose sum is σ = 828080642. Its totient is φ = 828080640.

The previous prime is 828080633. The next prime is 828080647. The reversal of 828080641 is 146080828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 794394225 + 33686416 = 28185^2 + 5804^2 .

It is a cyclic number.

It is not a de Polignac number, because 828080641 - 2³ = 828080633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 828080641.

It is not a weakly prime, because it can be changed into another prime (828080647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414040320 + 414040321.

It is an arithmetic number, because the mean of its divisors is an integer number (414040321).

Almost surely, 2^828080641 is an apocalyptic number.

It is an amenable number.

828080641 is a deficient number, since it is larger than the sum of its proper divisors (1).

828080641 is an equidigital number, since it uses as much as digits as its factorization.

828080641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 828080641 is about 28776.3903399992. The cubic root of 828080641 is about 939.0546709523.

The spelling of 828080641 in words is "eight hundred twenty-eight million, eighty thousand, six hundred forty-one".