206838009 has 64 divisors (see below), whose sum is σ = 371712000. Its totient is φ = 111041280.

The previous prime is 206837957. The next prime is 206838019. The reversal of 206838009 is 900838602.

It is not a de Polignac number, because 206838009 - 2¹¹ = 206835961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (206838019) 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 63 ways as a sum of consecutive naturals, for example, 858129 + ... + 858369.

It is an arithmetic number, because the mean of its divisors is an integer number (5808000).

Almost surely, 2^206838009 is an apocalyptic number.

It is an amenable number.

206838009 is a deficient number, since it is larger than the sum of its proper divisors (164873991).

206838009 is a wasteful number, since it uses less digits than its factorization.

206838009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206838009 is about 14381.8638917214. The cubic root of 206838009 is about 591.3938213597.

The spelling of 206838009 in words is "two hundred six million, eight hundred thirty-eight thousand, nine".