205314973 has 2 divisors, whose sum is σ = 205314974. Its totient is φ = 205314972.

The previous prime is 205314971. The next prime is 205314979. The reversal of 205314973 is 379413502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173527929 + 31787044 = 13173^2 + 5638^2 .

It is a cyclic number.

It is not a de Polignac number, because 205314973 - 2¹ = 205314971 is a prime.

Together with 205314971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205314971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102657486 + 102657487.

It is an arithmetic number, because the mean of its divisors is an integer number (102657487).

Almost surely, 2^205314973 is an apocalyptic number.

It is an amenable number.

205314973 is a deficient number, since it is larger than the sum of its proper divisors (1).

205314973 is an equidigital number, since it uses as much as digits as its factorization.

205314973 is an odious number, because the sum of its binary digits is odd.

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

The square root of 205314973 is about 14328.8161758046. The cubic root of 205314973 is about 589.9386827017.

The spelling of 205314973 in words is "two hundred five million, three hundred fourteen thousand, nine hundred seventy-three".