205738849 has 4 divisors (see below), whose sum is σ = 205767936. Its totient is φ = 205709764.

The previous prime is 205738829. The next prime is 205738853. The reversal of 205738849 is 948837502.

205738849 = T₁₁₇₁₀ + T₁₁₇₁₁ + T₁₁₇₁₂.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 205738849 - 2⁷ = 205738721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205738799 and 205738808.

It is not an unprimeable number, because it can be changed into a prime (205738829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3672 + ... + 20614.

It is an arithmetic number, because the mean of its divisors is an integer number (51441984).

Almost surely, 2^205738849 is an apocalyptic number.

205738849 is the 11712-nd centered triangular number.

It is an amenable number.

205738849 is a deficient number, since it is larger than the sum of its proper divisors (29087).

205738849 is a wasteful number, since it uses less digits than its factorization.

205738849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29086.

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 205738849 is about 14343.5995830893. The cubic root of 205738849 is about 590.3443828765.

The spelling of 205738849 in words is "two hundred five million, seven hundred thirty-eight thousand, eight hundred forty-nine".