820482821 has 2 divisors, whose sum is σ = 820482822. Its totient is φ = 820482820.

The previous prime is 820482809. The next prime is 820482823. The reversal of 820482821 is 128284028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796029796 + 24453025 = 28214^2 + 4945^2 .

It is a cyclic number.

It is not a de Polignac number, because 820482821 - 2¹⁰ = 820481797 is a prime.

It is a super-2 number, since 2×820482821² = 1346384119112236082, which contains 22 as substring.

Together with 820482823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820482823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410241410 + 410241411.

It is an arithmetic number, because the mean of its divisors is an integer number (410241411).

Almost surely, 2^820482821 is an apocalyptic number.

It is an amenable number.

820482821 is a deficient number, since it is larger than the sum of its proper divisors (1).

820482821 is an equidigital number, since it uses as much as digits as its factorization.

820482821 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 35.

The square root of 820482821 is about 28644.0713062930. The cubic root of 820482821 is about 936.1738318419.

The spelling of 820482821 in words is "eight hundred twenty million, four hundred eighty-two thousand, eight hundred twenty-one".