9791300401 has 9 divisors (see below), whose sum is σ = 9984875691. Its totient is φ = 9601413432.

The previous prime is 9791300383. The next prime is 9791300437. The reversal of 9791300401 is 1040031979.

The square root of 9791300401 is 98951.

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

9791300401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7058520225 + 2732780176 = 84015^2 + 52276^2 .

It is not a de Polignac number, because 9791300401 - 2¹¹ = 9791298353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9791309401) 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, 5243470 + ... + 5245336.

Almost surely, 2^9791300401 is an apocalyptic number.

9791300401 is the 98951-st square number.

9791300401 is the 49476-th centered octagonal number.

It is an amenable number.

9791300401 is a deficient number, since it is larger than the sum of its proper divisors (193575290).

9791300401 is an frugal number, since it uses more digits than its factorization.

9791300401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The cubic root of 9791300401 is about 2139.3415449538.

The spelling of 9791300401 in words is "nine billion, seven hundred ninety-one million, three hundred thousand, four hundred one".