209852393 has 2 divisors, whose sum is σ = 209852394. Its totient is φ = 209852392.

The previous prime is 209852333. The next prime is 209852407. The reversal of 209852393 is 393258902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192321424 + 17530969 = 13868^2 + 4187^2 .

It is a cyclic number.

It is not a de Polignac number, because 209852393 - 2²⁶ = 142743529 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 209852393.

It is not a weakly prime, because it can be changed into another prime (209852333) 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 as a sum of consecutive naturals, namely, 104926196 + 104926197.

It is an arithmetic number, because the mean of its divisors is an integer number (104926197).

Almost surely, 2^209852393 is an apocalyptic number.

It is an amenable number.

209852393 is a deficient number, since it is larger than the sum of its proper divisors (1).

209852393 is an equidigital number, since it uses as much as digits as its factorization.

209852393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 209852393 is about 14486.2829255817. The cubic root of 209852393 is about 594.2528984300.

The spelling of 209852393 in words is "two hundred nine million, eight hundred fifty-two thousand, three hundred ninety-three".