205323793 has 2 divisors, whose sum is σ = 205323794. Its totient is φ = 205323792.

The previous prime is 205323791. The next prime is 205323803. The reversal of 205323793 is 397323502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192848769 + 12475024 = 13887^2 + 3532^2 .

It is a cyclic number.

It is not a de Polignac number, because 205323793 - 2¹ = 205323791 is a prime.

Together with 205323791, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (205323791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102661896 + 102661897.

It is an arithmetic number, because the mean of its divisors is an integer number (102661897).

Almost surely, 2^205323793 is an apocalyptic number.

It is an amenable number.

205323793 is a deficient number, since it is larger than the sum of its proper divisors (1).

205323793 is an equidigital number, since it uses as much as digits as its factorization.

205323793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 205323793 is about 14329.1239439123. The cubic root of 205323793 is about 589.9471301854.

It can be divided in two parts, 205323 and 793, that added together give a square (206116 = 454²).

The spelling of 205323793 in words is "two hundred five million, three hundred twenty-three thousand, seven hundred ninety-three".