9845997529 has 9 divisors (see below), whose sum is σ = 10001899551. Its totient is φ = 9692493360.

The previous prime is 9845997509. The next prime is 9845997533. The reversal of 9845997529 is 9257995489.

The square root of 9845997529 is 99227.

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., 4214995929 + 5631001600 = 64923^2 + 75040^2 .

It is not a de Polignac number, because 9845997529 - 2¹⁵ = 9845964761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9845997509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6647469 + ... + 6648949.

Almost surely, 2^9845997529 is an apocalyptic number.

9845997529 is the 99227-th square number.

9845997529 is the 49614-th centered octagonal number.

It is an amenable number.

9845997529 is a deficient number, since it is larger than the sum of its proper divisors (155902022).

9845997529 is an frugal number, since it uses more digits than its factorization.

9845997529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 1548 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 67.

The cubic root of 9845997529 is about 2143.3178168185.

The spelling of 9845997529 in words is "nine billion, eight hundred forty-five million, nine hundred ninety-seven thousand, five hundred twenty-nine".