961680017 has 2 divisors, whose sum is σ = 961680018. Its totient is φ = 961680016.

The previous prime is 961680007. The next prime is 961680043. The reversal of 961680017 is 710086169.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 907274641 + 54405376 = 30121^2 + 7376^2 .

It is a cyclic number.

It is not a de Polignac number, because 961680017 - 2¹² = 961675921 is a prime.

It is not a weakly prime, because it can be changed into another prime (961680007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480840008 + 480840009.

It is an arithmetic number, because the mean of its divisors is an integer number (480840009).

Almost surely, 2^961680017 is an apocalyptic number.

It is an amenable number.

961680017 is a deficient number, since it is larger than the sum of its proper divisors (1).

961680017 is an equidigital number, since it uses as much as digits as its factorization.

961680017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 961680017 is about 31010.9660765349. The cubic root of 961680017 is about 987.0599496795.

The spelling of 961680017 in words is "nine hundred sixty-one million, six hundred eighty thousand, seventeen".