205838361 has 16 divisors (see below), whose sum is σ = 307800000. Its totient is φ = 135941184.

The previous prime is 205838299. The next prime is 205838387. The reversal of 205838361 is 163838502.

It is a de Polignac number, because none of the positive numbers 2^k-205838361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205838161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32736 + ... + 38513.

It is an arithmetic number, because the mean of its divisors is an integer number (19237500).

Almost surely, 2^205838361 is an apocalyptic number.

It is an amenable number.

205838361 is a deficient number, since it is larger than the sum of its proper divisors (101961639).

205838361 is a wasteful number, since it uses less digits than its factorization.

205838361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71365 (or 71359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 205838361 is about 14347.0680279979. The cubic root of 205838361 is about 590.4395470155.

The spelling of 205838361 in words is "two hundred five million, eight hundred thirty-eight thousand, three hundred sixty-one".