96782961 has 32 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 56073600.

The previous prime is 96782927. The next prime is 96782963. The reversal of 96782961 is 16928769.

It is not a de Polignac number, because 96782961 - 2⁹ = 96782449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 96782961.

It is not an unprimeable number, because it can be changed into a prime (96782963) 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 31 ways as a sum of consecutive naturals, for example, 90516 + ... + 91578.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^96782961 is an apocalyptic number.

It is an amenable number.

96782961 is a deficient number, since it is larger than the sum of its proper divisors (50304399).

96782961 is a wasteful number, since it uses less digits than its factorization.

96782961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197.

The product of its digits is 326592, while the sum is 48.

The square root of 96782961 is about 9837.8331455662. The cubic root of 96782961 is about 459.1271428342.

The spelling of 96782961 in words is "ninety-six million, seven hundred eighty-two thousand, nine hundred sixty-one".