96914961 has 48 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 54198720.

The previous prime is 96914947. The next prime is 96914963. The reversal of 96914961 is 16941969.

It is not a de Polignac number, because 96914961 - 2¹⁵ = 96882193 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96914963) 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 47 ways as a sum of consecutive naturals, for example, 33355 + ... + 36143.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^96914961 is an apocalyptic number.

It is an amenable number.

96914961 is a deficient number, since it is larger than the sum of its proper divisors (73699119).

96914961 is a wasteful number, since it uses less digits than its factorization.

96914961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2816 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 96914961 is about 9844.5396540417. The cubic root of 96914961 is about 459.3357789088.

The spelling of 96914961 in words is "ninety-six million, nine hundred fourteen thousand, nine hundred sixty-one".