766998961 has 2 divisors, whose sum is σ = 766998962. Its totient is φ = 766998960.

The previous prime is 766998923. The next prime is 766998983. The reversal of 766998961 is 169899667.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503553600 + 263445361 = 22440^2 + 16231^2 .

It is a cyclic number.

It is not a de Polignac number, because 766998961 - 2¹¹ = 766996913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 766998961.

It is not a weakly prime, because it can be changed into another prime (766998901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383499480 + 383499481.

It is an arithmetic number, because the mean of its divisors is an integer number (383499481).

Almost surely, 2^766998961 is an apocalyptic number.

It is an amenable number.

766998961 is a deficient number, since it is larger than the sum of its proper divisors (1).

766998961 is an equidigital number, since it uses as much as digits as its factorization.

766998961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8817984, while the sum is 61.

The square root of 766998961 is about 27694.7460901883. The cubic root of 766998961 is about 915.3733378509.

The spelling of 766998961 in words is "seven hundred sixty-six million, nine hundred ninety-eight thousand, nine hundred sixty-one".