97961 has 2 divisors, whose sum is σ = 97962. Its totient is φ = 97960.

The previous prime is 97943. The next prime is 97967. The reversal of 97961 is 16979.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 25600 = 269^2 + 160^2 .

It is an emirp because it is prime and its reverse (16979) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-97961 is a prime.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (97967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48980 + 48981.

It is an arithmetic number, because the mean of its divisors is an integer number (48981).

2⁹⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

97961 is a deficient number, since it is larger than the sum of its proper divisors (1).

97961 is an equidigital number, since it uses as much as digits as its factorization.

97961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 32.

The square root of 97961 is about 312.9872201864. The cubic root of 97961 is about 46.0982462242.

The spelling of 97961 in words is "ninety-seven thousand, nine hundred sixty-one".