97567961 has 2 divisors, whose sum is σ = 97567962. Its totient is φ = 97567960.

The previous prime is 97567937. The next prime is 97567963. The reversal of 97567961 is 16976579.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53743561 + 43824400 = 7331^2 + 6620^2 .

It is an emirp because it is prime and its reverse (16976579) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97567961 - 2²⁶ = 30459097 is a prime.

It is a Sophie Germain prime.

Together with 97567963, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (97567963) 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, 48783980 + 48783981.

It is an arithmetic number, because the mean of its divisors is an integer number (48783981).

Almost surely, 2^97567961 is an apocalyptic number.

It is an amenable number.

97567961 is a deficient number, since it is larger than the sum of its proper divisors (1).

97567961 is an equidigital number, since it uses as much as digits as its factorization.

97567961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 714420, while the sum is 50.

The square root of 97567961 is about 9877.6495685968. The cubic root of 97567961 is about 460.3651181188.

The spelling of 97567961 in words is "ninety-seven million, five hundred sixty-seven thousand, nine hundred sixty-one".