827821 has 2 divisors, whose sum is σ = 827822. Its totient is φ = 827820.

The previous prime is 827809. The next prime is 827833. The reversal of 827821 is 128728.

827821 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 (827809) and next prime (827833).

It can be written as a sum of positive squares in only one way, i.e., 792100 + 35721 = 890^2 + 189^2 .

It is a cyclic number.

It is not a de Polignac number, because 827821 - 2⁷ = 827693 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413910 + 413911.

It is an arithmetic number, because the mean of its divisors is an integer number (413911).

2⁸²⁷⁸²¹ is an apocalyptic number.

It is an amenable number.

827821 is a deficient number, since it is larger than the sum of its proper divisors (1).

827821 is an equidigital number, since it uses as much as digits as its factorization.

827821 is an evil number, because the sum of its binary digits is even.

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

The square root of 827821 is about 909.8466903825. The cubic root of 827821 is about 93.8956515222.

The spelling of 827821 in words is "eight hundred twenty-seven thousand, eight hundred twenty-one".