205412321 has 2 divisors, whose sum is σ = 205412322. Its totient is φ = 205412320.

The previous prime is 205412303. The next prime is 205412357. The reversal of 205412321 is 123214502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122965921 + 82446400 = 11089^2 + 9080^2 .

It is a cyclic number.

It is not a de Polignac number, because 205412321 - 2¹⁸ = 205150177 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 205412293 and 205412302.

It is not a weakly prime, because it can be changed into another prime (205412371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102706160 + 102706161.

It is an arithmetic number, because the mean of its divisors is an integer number (102706161).

Almost surely, 2^205412321 is an apocalyptic number.

It is an amenable number.

205412321 is a deficient number, since it is larger than the sum of its proper divisors (1).

205412321 is an equidigital number, since it uses as much as digits as its factorization.

205412321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 205412321 is about 14332.2127042547. The cubic root of 205412321 is about 590.0319057724.

Adding to 205412321 its reverse (123214502), we get a palindrome (328626823).

The spelling of 205412321 in words is "two hundred five million, four hundred twelve thousand, three hundred twenty-one".