822006961 has 2 divisors, whose sum is σ = 822006962. Its totient is φ = 822006960.

The previous prime is 822006953. The next prime is 822006971. The reversal of 822006961 is 169600228.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 714760225 + 107246736 = 26735^2 + 10356^2 .

It is a cyclic number.

It is not a de Polignac number, because 822006961 - 2³ = 822006953 is a prime.

It is not a weakly prime, because it can be changed into another prime (822006931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411003480 + 411003481.

It is an arithmetic number, because the mean of its divisors is an integer number (411003481).

Almost surely, 2^822006961 is an apocalyptic number.

It is an amenable number.

822006961 is a deficient number, since it is larger than the sum of its proper divisors (1).

822006961 is an equidigital number, since it uses as much as digits as its factorization.

822006961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 822006961 is about 28670.6637697839. The cubic root of 822006961 is about 936.7531563323.

The spelling of 822006961 in words is "eight hundred twenty-two million, six thousand, nine hundred sixty-one".