96857265961 has 9 divisors (see below), whose sum is σ = 102895518999. Its totient is φ = 91154800224.

The previous prime is 96857265959. The next prime is 96857266001. The reversal of 96857265961 is 16956275869.

The square root of 96857265961 is 311219.

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., 75407906025 + 21449359936 = 274605^2 + 146456^2 .

It is not a de Polignac number, because 96857265961 - 2¹ = 96857265959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96857265893 and 96857265902.

It is not an unprimeable number, because it can be changed into a prime (96857262961) 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 8 ways as a sum of consecutive naturals, for example, 5281570 + ... + 5299876.

Almost surely, 2^96857265961 is an apocalyptic number.

96857265961 is the 311219-th square number.

96857265961 is the 155610-th centered octagonal number.

It is an amenable number.

96857265961 is a deficient number, since it is larger than the sum of its proper divisors (6038253038).

96857265961 is an frugal number, since it uses more digits than its factorization.

96857265961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36648 (or 18324 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 64.

Multiplying 96857265961 by its sum of digits (64), we get a square (6198865021504 = 2489752²).

The spelling of 96857265961 in words is "ninety-six billion, eight hundred fifty-seven million, two hundred sixty-five thousand, nine hundred sixty-one".