97112961 has 24 divisors (see below), whose sum is σ = 153784800. Its totient is φ = 58564800.

The previous prime is 97112947. The next prime is 97112989. The reversal of 97112961 is 16921179.

It is not a de Polignac number, because 97112961 - 2⁵ = 97112929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97112921) 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 in 23 ways as a sum of consecutive naturals, for example, 18565 + ... + 23213.

It is an arithmetic number, because the mean of its divisors is an integer number (6407700).

Almost surely, 2^97112961 is an apocalyptic number.

It is an amenable number.

97112961 is a deficient number, since it is larger than the sum of its proper divisors (56671839).

97112961 is a wasteful number, since it uses less digits than its factorization.

97112961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4874 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 97112961 is about 9854.5908590869. The cubic root of 97112961 is about 459.6483781082.

The spelling of 97112961 in words is "ninety-seven million, one hundred twelve thousand, nine hundred sixty-one".