96464961 has 12 divisors (see below), whose sum is σ = 139690980. Its totient is φ = 64147200.

The previous prime is 96464947. The next prime is 96464969. The reversal of 96464961 is 16946469.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 12852225 = 9144^2 + 3585^2 .

It is not a de Polignac number, because 96464961 - 2⁶ = 96464897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96464969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9756 + ... + 16973.

It is an arithmetic number, because the mean of its divisors is an integer number (11640915).

Almost surely, 2^96464961 is an apocalyptic number.

It is an amenable number.

96464961 is a deficient number, since it is larger than the sum of its proper divisors (43226019).

96464961 is a wasteful number, since it uses less digits than its factorization.

96464961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27136 (or 27133 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 96464961 is about 9821.6577521313. The cubic root of 96464961 is about 458.6237393794.

The spelling of 96464961 in words is "ninety-six million, four hundred sixty-four thousand, nine hundred sixty-one".