9806742841 has 45 divisors (see below), whose sum is σ = 11967275301. Its totient is φ = 8035609176.

The previous prime is 9806742823. The next prime is 9806742871. The reversal of 9806742841 is 1482476089.

It is a happy number.

The square root of 9806742841 is 99029.

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

It is not a de Polignac number, because 9806742841 - 2⁷ = 9806742713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9806742871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 208654080 + ... + 208654126.

Almost surely, 2^9806742841 is an apocalyptic number.

9806742841 is the 99029-th square number.

9806742841 is the 49515-th centered octagonal number.

It is an amenable number.

9806742841 is a deficient number, since it is larger than the sum of its proper divisors (2160532460).

9806742841 is an frugal number, since it uses more digits than its factorization.

9806742841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The cubic root of 9806742841 is about 2140.4656482998.

Multiplying 9806742841 by its sum of digits (49), we get a square (480530399209 = 693203²).

9806742841 divided by its sum of digits (49) gives a square (200137609 = 14147²).

The spelling of 9806742841 in words is "nine billion, eight hundred six million, seven hundred forty-two thousand, eight hundred forty-one".