967977761 has 2 divisors, whose sum is σ = 967977762. Its totient is φ = 967977760.

The previous prime is 967977721. The next prime is 967977767. The reversal of 967977761 is 167779769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 655360000 + 312617761 = 25600^2 + 17681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-967977761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 967977761.

It is not a weakly prime, because it can be changed into another prime (967977767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483988880 + 483988881.

It is an arithmetic number, because the mean of its divisors is an integer number (483988881).

Almost surely, 2^967977761 is an apocalyptic number.

It is an amenable number.

967977761 is a deficient number, since it is larger than the sum of its proper divisors (1).

967977761 is an equidigital number, since it uses as much as digits as its factorization.

967977761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7001316, while the sum is 59.

The square root of 967977761 is about 31112.3409758893. The cubic root of 967977761 is about 989.2099131070.

The spelling of 967977761 in words is "nine hundred sixty-seven million, nine hundred seventy-seven thousand, seven hundred sixty-one".