8282821 has 2 divisors, whose sum is σ = 8282822. Its totient is φ = 8282820.

The previous prime is 8282809. The next prime is 8282831. The reversal of 8282821 is 1282828.

8282821 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7452900 + 829921 = 2730^2 + 911^2 .

It is a cyclic number.

It is not a de Polignac number, because 8282821 - 2⁷ = 8282693 is a prime.

It is equal to p₅₅₇₅₂₇ and since 8282821 and 557527 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8282831) 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, 4141410 + 4141411.

It is an arithmetic number, because the mean of its divisors is an integer number (4141411).

Almost surely, 2^8282821 is an apocalyptic number.

It is an amenable number.

8282821 is a deficient number, since it is larger than the sum of its proper divisors (1).

8282821 is an equidigital number, since it uses as much as digits as its factorization.

8282821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4096, while the sum is 31.

The square root of 8282821 is about 2877.9890548784. The cubic root of 8282821 is about 202.3296011032.

The spelling of 8282821 in words is "eight million, two hundred eighty-two thousand, eight hundred twenty-one".