9820611801 has 225 divisors, whose sum is σ = 20326941855. Its totient is φ = 4709184480.

The previous prime is 9820611793. The next prime is 9820611811. The reversal of 9820611801 is 1081160289.

The square root of 9820611801 is 99099.

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., 1452753225 + 8367858576 = 38115^2 + 91476^2 .

It is not a de Polignac number, because 9820611801 - 2³ = 9820611793 is a prime.

It is a super-2 number, since 2×9820611801² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9820611811) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 755431671 + ... + 755431683.

Almost surely, 2^9820611801 is an apocalyptic number.

9820611801 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9820611801 is the 99099-th square number.

9820611801 is the 49550-th centered octagonal number.

It is an amenable number.

9820611801 is an abundant number, since it is smaller than the sum of its proper divisors (10506330054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9820611801 is an equidigital number, since it uses as much as digits as its factorization.

9820611801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The cubic root of 9820611801 is about 2141.4742077390.

Multiplying 9820611801 by its sum of digits (36), we get a square (353542024836 = 594594²).

The spelling of 9820611801 in words is "nine billion, eight hundred twenty million, six hundred eleven thousand, eight hundred one".