971913961 has 2 divisors, whose sum is σ = 971913962. Its totient is φ = 971913960.

The previous prime is 971913937. The next prime is 971913983. The reversal of 971913961 is 169319179.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 740873961 + 231040000 = 27219^2 + 15200^2 .

It is a cyclic number.

It is not a de Polignac number, because 971913961 - 2²⁵ = 938359529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (971913991) 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, 485956980 + 485956981.

It is an arithmetic number, because the mean of its divisors is an integer number (485956981).

Almost surely, 2^971913961 is an apocalyptic number.

It is an amenable number.

971913961 is a deficient number, since it is larger than the sum of its proper divisors (1).

971913961 is an equidigital number, since it uses as much as digits as its factorization.

971913961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 91854, while the sum is 46.

The square root of 971913961 is about 31175.5346545973. The cubic root of 971913961 is about 990.5489459748.

The spelling of 971913961 in words is "nine hundred seventy-one million, nine hundred thirteen thousand, nine hundred sixty-one".