205413097 has 2 divisors, whose sum is σ = 205413098. Its totient is φ = 205413096.

The previous prime is 205413071. The next prime is 205413121. The reversal of 205413097 is 790314502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193655056 + 11758041 = 13916^2 + 3429^2 .

It is a cyclic number.

It is not a de Polignac number, because 205413097 - 2⁷ = 205412969 is a prime.

It is not a weakly prime, because it can be changed into another prime (205413017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102706548 + 102706549.

It is an arithmetic number, because the mean of its divisors is an integer number (102706549).

Almost surely, 2^205413097 is an apocalyptic number.

It is an amenable number.

205413097 is a deficient number, since it is larger than the sum of its proper divisors (1).

205413097 is an equidigital number, since it uses as much as digits as its factorization.

205413097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 205413097 is about 14332.2397761132. The cubic root of 205413097 is about 590.0326487726.

Adding to 205413097 its reverse (790314502), we get a palindrome (995727599).

It can be divided in two parts, 2054 and 13097, that added together give a palindrome (15151).

The spelling of 205413097 in words is "two hundred five million, four hundred thirteen thousand, ninety-seven".