9807138961 has 9 divisors (see below), whose sum is σ = 9882881851. Its totient is φ = 9731974432.

The previous prime is 9807138953. The next prime is 9807138989. The reversal of 9807138961 is 1698317089.

It is a happy number.

The square root of 9807138961 is 99031.

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., 6030299025 + 3776839936 = 77655^2 + 61456^2 .

It is not a de Polignac number, because 9807138961 - 2³ = 9807138953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9807138899 and 9807138908.

It is not an unprimeable number, because it can be changed into a prime (9807138941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16537881 + ... + 16538473.

Almost surely, 2^9807138961 is an apocalyptic number.

9807138961 is the 99031-st square number.

9807138961 is the 49516-th centered octagonal number.

It is an amenable number.

9807138961 is a deficient number, since it is larger than the sum of its proper divisors (75742890).

9807138961 is an frugal number, since it uses more digits than its factorization.

9807138961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The cubic root of 9807138961 is about 2140.4944675809.

The spelling of 9807138961 in words is "nine billion, eight hundred seven million, one hundred thirty-eight thousand, nine hundred sixty-one".