967958720161 has 2 divisors, whose sum is σ = 967958720162. Its totient is φ = 967958720160.

The previous prime is 967958720123. The next prime is 967958720191. The reversal of 967958720161 is 161027859769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967923436561 + 35283600 = 983831^2 + 5940^2 .

It is a cyclic number.

It is not a de Polignac number, because 967958720161 - 2¹³ = 967958711969 is a prime.

It is a super-2 number, since 2×967958720161² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 967958720161.

It is not a weakly prime, because it can be changed into another prime (967958720191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483979360080 + 483979360081.

It is an arithmetic number, because the mean of its divisors is an integer number (483979360081).

Almost surely, 2^967958720161 is an apocalyptic number.

It is an amenable number.

967958720161 is a deficient number, since it is larger than the sum of its proper divisors (1).

967958720161 is an equidigital number, since it uses as much as digits as its factorization.

967958720161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 967958720161 in words is "nine hundred sixty-seven billion, nine hundred fifty-eight million, seven hundred twenty thousand, one hundred sixty-one".