9800406009 has 9 divisors (see below), whose sum is σ = 14156571013. Its totient is φ = 6533406012.

The previous prime is 9800405983. The next prime is 9800406029. The reversal of 9800406009 is 9006040089.

The square root of 9800406009 is 98997.

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

9800406009 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 40 + 600 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-9800406009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9800406029) 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, 280492 + ... + 313490.

Almost surely, 2^9800406009 is an apocalyptic number.

9800406009 is the 98997-th square number.

9800406009 is the 49499-th centered octagonal number.

It is an amenable number.

9800406009 is a deficient number, since it is larger than the sum of its proper divisors (4356165004).

9800406009 is an frugal number, since it uses more digits than its factorization.

9800406009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66004 (or 33002 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 9800406009 is about 2140.0045134123.

Multiplying 9800406009 by its sum of digits (36), we get a square (352814616324 = 593982²).

It can be divided in two parts, 980040 and 6009, that added together give a square (986049 = 993²).

The spelling of 9800406009 in words is "nine billion, eight hundred million, four hundred six thousand, nine".