9757685961 has 27 divisors (see below), whose sum is σ = 14883878919. Its totient is φ = 6159192912.

The previous prime is 9757685909. The next prime is 9757686011. The reversal of 9757685961 is 1695867579.

The square root of 9757685961 is 98781.

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

9757685961 is a `hidden beast` number, since 9 + 7 + 576 + 8 + 59 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4334247225 + 5423438736 = 65835^2 + 73644^2 .

It is not a de Polignac number, because 9757685961 - 2²¹ = 9755588809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9757685461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5629651 + ... + 5631383.

Almost surely, 2^9757685961 is an apocalyptic number.

9757685961 is the 98781-st square number.

9757685961 is the 49391-st centered octagonal number.

It is an amenable number.

9757685961 is a deficient number, since it is larger than the sum of its proper divisors (5126192958).

9757685961 is an equidigital number, since it uses as much as digits as its factorization.

9757685961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 1755 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The cubic root of 9757685961 is about 2136.8905521756.

The spelling of 9757685961 in words is "nine billion, seven hundred fifty-seven million, six hundred eighty-five thousand, nine hundred sixty-one".