906876961 has 2 divisors, whose sum is σ = 906876962. Its totient is φ = 906876960.

The previous prime is 906876947. The next prime is 906876979. The reversal of 906876961 is 169678609.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 636603361 + 270273600 = 25231^2 + 16440^2 .

It is an emirp because it is prime and its reverse (169678609) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 906876961 - 2⁷ = 906876833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 906876899 and 906876908.

It is not a weakly prime, because it can be changed into another prime (906876941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453438480 + 453438481.

It is an arithmetic number, because the mean of its divisors is an integer number (453438481).

Almost surely, 2^906876961 is an apocalyptic number.

It is an amenable number.

906876961 is a deficient number, since it is larger than the sum of its proper divisors (1).

906876961 is an equidigital number, since it uses as much as digits as its factorization.

906876961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 906876961 is about 30114.3979020003. The cubic root of 906876961 is about 967.9422708924.

The spelling of 906876961 in words is "nine hundred six million, eight hundred seventy-six thousand, nine hundred sixty-one".