9801198001 has 9 divisors (see below), whose sum is σ = 11402199801. Its totient is φ = 8400432852.

The previous prime is 9801197993. The next prime is 9801198007. The reversal of 9801198001 is 1008911089.

It is a happy number.

The square root of 9801198001 is 99001.

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

It is not a de Polignac number, because 9801198001 - 2³ = 9801197993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9801198007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 685936 + ... + 700078.

It is an arithmetic number, because the mean of its divisors is an integer number (1266911089).

Almost surely, 2^9801198001 is an apocalyptic number.

9801198001 is the 99001-st square number.

9801198001 is the 49501-st centered octagonal number.

It is an amenable number.

9801198001 is a deficient number, since it is larger than the sum of its proper divisors (1601001800).

9801198001 is an frugal number, since it uses more digits than its factorization.

9801198001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28300 (or 14150 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 37.

The cubic root of 9801198001 is about 2140.0621579902.

Multiplying 9801198001 by its product of nonzero digits (5184), we get a square (50809410437184 = 7128072²).

The spelling of 9801198001 in words is "nine billion, eight hundred one million, one hundred ninety-eight thousand, one".