205341397 has 2 divisors, whose sum is σ = 205341398. Its totient is φ = 205341396.

The previous prime is 205341371. The next prime is 205341413. The reversal of 205341397 is 793143502.

205341397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177049636 + 28291761 = 13306^2 + 5319^2 .

It is a cyclic number.

It is not a de Polignac number, because 205341397 - 2¹¹ = 205339349 is a prime.

It is a super-3 number, since 3×205341397³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205341497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102670698 + 102670699.

It is an arithmetic number, because the mean of its divisors is an integer number (102670699).

Almost surely, 2^205341397 is an apocalyptic number.

It is an amenable number.

205341397 is a deficient number, since it is larger than the sum of its proper divisors (1).

205341397 is an equidigital number, since it uses as much as digits as its factorization.

205341397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 205341397 is about 14329.7382041683. The cubic root of 205341397 is about 589.9639899501.

Adding to 205341397 its reverse (793143502), we get a palindrome (998484899).

The spelling of 205341397 in words is "two hundred five million, three hundred forty-one thousand, three hundred ninety-seven".