828020827 has 2 divisors, whose sum is σ = 828020828. Its totient is φ = 828020826.

The previous prime is 828020821. The next prime is 828020833. The reversal of 828020827 is 728020828.

828020827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (828020821) and next prime (828020833).

It is a cyclic number.

It is not a de Polignac number, because 828020827 - 2¹⁵ = 827988059 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (828020821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414010413 + 414010414.

It is an arithmetic number, because the mean of its divisors is an integer number (414010414).

Almost surely, 2^828020827 is an apocalyptic number.

828020827 is a deficient number, since it is larger than the sum of its proper divisors (1).

828020827 is an equidigital number, since it uses as much as digits as its factorization.

828020827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 828020827 is about 28775.3510317424. The cubic root of 828020827 is about 939.0320604456.

Subtracting from 828020827 its reverse (728020828), we obtain a palindrome (99999999).

The spelling of 828020827 in words is "eight hundred twenty-eight million, twenty thousand, eight hundred twenty-seven".