96274298961 has 27 divisors (see below), whose sum is σ = 141540565179. Its totient is φ = 63059028192.

The previous prime is 96274298951. The next prime is 96274298983. The reversal of 96274298961 is 16989247269.

The square root of 96274298961 is 310281.

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

It can be written as a sum of positive squares in only one way, i.e., 2726406225 + 93547892736 = 52215^2 + 305856^2 .

It is not a de Polignac number, because 96274298961 - 2⁵ = 96274298929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96274298951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54918861 + ... + 54920613.

Almost surely, 2^96274298961 is an apocalyptic number.

96274298961 is the 310281-st square number.

96274298961 is the 155141-st centered octagonal number.

It is an amenable number.

96274298961 is a deficient number, since it is larger than the sum of its proper divisors (45266266218).

96274298961 is an frugal number, since it uses more digits than its factorization.

96274298961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 1815 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 96274298961 in words is "ninety-six billion, two hundred seventy-four million, two hundred ninety-eight thousand, nine hundred sixty-one".