205242337 has 2 divisors, whose sum is σ = 205242338. Its totient is φ = 205242336.

The previous prime is 205242329. The next prime is 205242353. The reversal of 205242337 is 733242502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165791376 + 39450961 = 12876^2 + 6281^2 .

It is a cyclic number.

It is not a de Polignac number, because 205242337 - 2³ = 205242329 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205242437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102621168 + 102621169.

It is an arithmetic number, because the mean of its divisors is an integer number (102621169).

Almost surely, 2^205242337 is an apocalyptic number.

It is an amenable number.

205242337 is a deficient number, since it is larger than the sum of its proper divisors (1).

205242337 is an equidigital number, since it uses as much as digits as its factorization.

205242337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 205242337 is about 14326.2813388541. The cubic root of 205242337 is about 589.8691053108.

Adding to 205242337 its reverse (733242502), we get a palindrome (938484839).

The spelling of 205242337 in words is "two hundred five million, two hundred forty-two thousand, three hundred thirty-seven".