882810821 has 2 divisors, whose sum is σ = 882810822. Its totient is φ = 882810820.

The previous prime is 882810767. The next prime is 882810829. The reversal of 882810821 is 128018288.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 444745921 + 438064900 = 21089^2 + 20930^2 .

It is a cyclic number.

It is not a de Polignac number, because 882810821 - 2¹⁰ = 882809797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (882810829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 441405410 + 441405411.

It is an arithmetic number, because the mean of its divisors is an integer number (441405411).

Almost surely, 2^882810821 is an apocalyptic number.

It is an amenable number.

882810821 is a deficient number, since it is larger than the sum of its proper divisors (1).

882810821 is an equidigital number, since it uses as much as digits as its factorization.

882810821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16384, while the sum is 38.

The square root of 882810821 is about 29712.1325555740. The cubic root of 882810821 is about 959.3031766919.

The spelling of 882810821 in words is "eight hundred eighty-two million, eight hundred ten thousand, eight hundred twenty-one".