967968577 has 2 divisors, whose sum is σ = 967968578. Its totient is φ = 967968576.

The previous prime is 967968553. The next prime is 967968611. The reversal of 967968577 is 775869769.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 676208016 + 291760561 = 26004^2 + 17081^2 .

It is a cyclic number.

It is not a de Polignac number, because 967968577 - 2¹¹ = 967966529 is a prime.

It is not a weakly prime, because it can be changed into another prime (967968527) 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, 483984288 + 483984289.

It is an arithmetic number, because the mean of its divisors is an integer number (483984289).

Almost surely, 2^967968577 is an apocalyptic number.

It is an amenable number.

967968577 is a deficient number, since it is larger than the sum of its proper divisors (1).

967968577 is an equidigital number, since it uses as much as digits as its factorization.

967968577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40007520, while the sum is 64.

The square root of 967968577 is about 31112.1933813738. The cubic root of 967968577 is about 989.2067846148.

The spelling of 967968577 in words is "nine hundred sixty-seven million, nine hundred sixty-eight thousand, five hundred seventy-seven".