966561073 has 2 divisors, whose sum is σ = 966561074. Its totient is φ = 966561072.

The previous prime is 966561049. The next prime is 966561077. The reversal of 966561073 is 370165669.

966561073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 874266624 + 92294449 = 29568^2 + 9607^2 .

It is a cyclic number.

It is not a de Polignac number, because 966561073 - 2⁹ = 966560561 is a prime.

It is a super-2 number, since 2×966561073² = 1868480615677822658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (966561077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483280536 + 483280537.

It is an arithmetic number, because the mean of its divisors is an integer number (483280537).

Almost surely, 2^966561073 is an apocalyptic number.

It is an amenable number.

966561073 is a deficient number, since it is larger than the sum of its proper divisors (1).

966561073 is an equidigital number, since it uses as much as digits as its factorization.

966561073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 966561073 is about 31089.5653395154. The cubic root of 966561073 is about 988.7270900153.

The spelling of 966561073 in words is "nine hundred sixty-six million, five hundred sixty-one thousand, seventy-three".