828221 has 2 divisors, whose sum is σ = 828222. Its totient is φ = 828220.

The previous prime is 828209. The next prime is 828239. The reversal of 828221 is 122828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 828100 + 121 = 910^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 828221 - 2¹⁸ = 566077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828721) 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, 414110 + 414111.

It is an arithmetic number, because the mean of its divisors is an integer number (414111).

2⁸²⁸²²¹ is an apocalyptic number.

It is an amenable number.

828221 is a deficient number, since it is larger than the sum of its proper divisors (1).

828221 is an equidigital number, since it uses as much as digits as its factorization.

828221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 512, while the sum is 23.

The square root of 828221 is about 910.0664810881. The cubic root of 828221 is about 93.9107724291.

The spelling of 828221 in words is "eight hundred twenty-eight thousand, two hundred twenty-one".