97864961 has 2 divisors, whose sum is σ = 97864962. Its totient is φ = 97864960.

The previous prime is 97864933. The next prime is 97864973. The reversal of 97864961 is 16946879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85747600 + 12117361 = 9260^2 + 3481^2 .

It is a cyclic number.

It is not a de Polignac number, because 97864961 - 2¹⁰ = 97863937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a weakly prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48932480 + 48932481.

It is an arithmetic number, because the mean of its divisors is an integer number (48932481).

Almost surely, 2^97864961 is an apocalyptic number.

It is an amenable number.

97864961 is a deficient number, since it is larger than the sum of its proper divisors (1).

97864961 is an equidigital number, since it uses as much as digits as its factorization.

97864961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 653184, while the sum is 50.

The square root of 97864961 is about 9892.6720859432. The cubic root of 97864961 is about 460.8317669981.

The spelling of 97864961 in words is "ninety-seven million, eight hundred sixty-four thousand, nine hundred sixty-one".