688006961 has 2 divisors, whose sum is σ = 688006962. Its totient is φ = 688006960.

The previous prime is 688006931. The next prime is 688006993. The reversal of 688006961 is 169600886.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 452200225 + 235806736 = 21265^2 + 15356^2 .

It is a cyclic number.

It is not a de Polignac number, because 688006961 - 2¹⁸ = 687744817 is a prime.

It is not a weakly prime, because it can be changed into another prime (688006931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344003480 + 344003481.

It is an arithmetic number, because the mean of its divisors is an integer number (344003481).

Almost surely, 2^688006961 is an apocalyptic number.

It is an amenable number.

688006961 is a deficient number, since it is larger than the sum of its proper divisors (1).

688006961 is an equidigital number, since it uses as much as digits as its factorization.

688006961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 688006961 is about 26229.8867896909. The cubic root of 688006961 is about 882.8039697932.

The spelling of 688006961 in words is "six hundred eighty-eight million, six thousand, nine hundred sixty-one".