205948349 has 2 divisors, whose sum is σ = 205948350. Its totient is φ = 205948348.

The previous prime is 205948333. The next prime is 205948367. The reversal of 205948349 is 943849502.

205948349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180768025 + 25180324 = 13445^2 + 5018^2 .

It is a cyclic number.

It is not a de Polignac number, because 205948349 - 2⁴ = 205948333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205948649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102974174 + 102974175.

It is an arithmetic number, because the mean of its divisors is an integer number (102974175).

Almost surely, 2^205948349 is an apocalyptic number.

It is an amenable number.

205948349 is a deficient number, since it is larger than the sum of its proper divisors (1).

205948349 is an equidigital number, since it uses as much as digits as its factorization.

205948349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 205948349 is about 14350.9006337581. The cubic root of 205948349 is about 590.5446937612.

The spelling of 205948349 in words is "two hundred five million, nine hundred forty-eight thousand, three hundred forty-nine".