820482961 has 2 divisors, whose sum is σ = 820482962. Its totient is φ = 820482960.

The previous prime is 820482959. The next prime is 820482967. The reversal of 820482961 is 169284028.

820482961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 820478736 + 4225 = 28644^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 820482961 - 2¹ = 820482959 is a prime.

Together with 820482959, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (820482967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410241480 + 410241481.

It is an arithmetic number, because the mean of its divisors is an integer number (410241481).

Almost surely, 2^820482961 is an apocalyptic number.

It is an amenable number.

820482961 is a deficient number, since it is larger than the sum of its proper divisors (1).

820482961 is an equidigital number, since it uses as much as digits as its factorization.

820482961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 820482961 is about 28644.0737500796. The cubic root of 820482961 is about 936.1738850887.

The spelling of 820482961 in words is "eight hundred twenty million, four hundred eighty-two thousand, nine hundred sixty-one".