96833614761 has 81 divisors (see below), whose sum is σ = 154933000677. Its totient is φ = 58253083200.

The previous prime is 96833614753. The next prime is 96833614771. The reversal of 96833614761 is 16741633869.

It is a happy number.

The square root of 96833614761 is 311181.

It is a perfect power (a square), and thus also a powerful number.

96833614761 is a `hidden beast` number, since 96 + 83 + 3 + 6 + 1 + 476 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3652389225 + 93181225536 = 60435^2 + 305256^2 .

It is not a de Polignac number, because 96833614761 - 2³ = 96833614753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 96833614698 and 96833614707.

It is not an unprimeable number, because it can be changed into a prime (96833614771) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 958748611 + ... + 958748711.

Almost surely, 2^96833614761 is an apocalyptic number.

96833614761 is the 311181-st square number.

96833614761 is the 155591-st centered octagonal number.

It is an amenable number.

96833614761 is a deficient number, since it is larger than the sum of its proper divisors (58099385916).

96833614761 is a wasteful number, since it uses less digits than its factorization.

96833614761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 96833614761 in words is "ninety-six billion, eight hundred thirty-three million, six hundred fourteen thousand, seven hundred sixty-one".