8027821 has 2 divisors, whose sum is σ = 8027822. Its totient is φ = 8027820.

The previous prime is 8027819. The next prime is 8027827. The reversal of 8027821 is 1287208.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5354596 + 2673225 = 2314^2 + 1635^2 .

It is a cyclic number.

It is not a de Polignac number, because 8027821 - 2¹ = 8027819 is a prime.

Together with 8027819, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 8027821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8027827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4013910 + 4013911.

It is an arithmetic number, because the mean of its divisors is an integer number (4013911).

Almost surely, 2^8027821 is an apocalyptic number.

It is an amenable number.

8027821 is a deficient number, since it is larger than the sum of its proper divisors (1).

8027821 is an equidigital number, since it uses as much as digits as its factorization.

8027821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 8027821 is about 2833.3409607740. The cubic root of 8027821 is about 200.2315734319.

The spelling of 8027821 in words is "eight million, twenty-seven thousand, eight hundred twenty-one".