205472417 has 2 divisors, whose sum is σ = 205472418. Its totient is φ = 205472416.

The previous prime is 205472383. The next prime is 205472419. The reversal of 205472417 is 714274502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184715281 + 20757136 = 13591^2 + 4556^2 .

It is a cyclic number.

It is not a de Polignac number, because 205472417 - 2¹⁰ = 205471393 is a prime.

Together with 205472419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205472419) 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, 102736208 + 102736209.

It is an arithmetic number, because the mean of its divisors is an integer number (102736209).

Almost surely, 2^205472417 is an apocalyptic number.

It is an amenable number.

205472417 is a deficient number, since it is larger than the sum of its proper divisors (1).

205472417 is an equidigital number, since it uses as much as digits as its factorization.

205472417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 205472417 is about 14334.3090869424. The cubic root of 205472417 is about 590.0894406205.

The spelling of 205472417 in words is "two hundred five million, four hundred seventy-two thousand, four hundred seventeen".