9205938901 has 12 divisors (see below), whose sum is σ = 9840530700. Its totient is φ = 8601741120.

The previous prime is 9205938893. The next prime is 9205938953. The reversal of 9205938901 is 1098395029.

9205938901 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2308802500 + 6897136401 = 48050^2 + 83049^2 .

It is not a de Polignac number, because 9205938901 - 2³ = 9205938893 is a prime.

It is a super-2 number, since 2×9205938901² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9205938971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137296 + ... + 193033.

It is an arithmetic number, because the mean of its divisors is an integer number (820044225).

Almost surely, 2^9205938901 is an apocalyptic number.

It is an amenable number.

9205938901 is a deficient number, since it is larger than the sum of its proper divisors (634591799).

9205938901 is a wasteful number, since it uses less digits than its factorization.

9205938901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330420 (or 330389 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 9205938901 is about 95947.5841332131. The cubic root of 9205938901 is about 2095.8298879486.

The spelling of 9205938901 in words is "nine billion, two hundred five million, nine hundred thirty-eight thousand, nine hundred one".