205360047 has 12 divisors (see below), whose sum is σ = 296756304. Its totient is φ = 136848960.

The previous prime is 205360039. The next prime is 205360073. The reversal of 205360047 is 740063502.

It is a happy number.

205360047 is a `hidden beast` number, since 2 + 0 + 53 + 600 + 4 + 7 = 666.

It is not a de Polignac number, because 205360047 - 2³ = 205360039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205360047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205360007) 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 in 11 ways as a sum of consecutive naturals, for example, 35383 + ... + 40775.

It is an arithmetic number, because the mean of its divisors is an integer number (24729692).

Almost surely, 2^205360047 is an apocalyptic number.

205360047 is a deficient number, since it is larger than the sum of its proper divisors (91396257).

205360047 is a wasteful number, since it uses less digits than its factorization.

205360047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630 (or 9627 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 205360047 is about 14330.3889340101. The cubic root of 205360047 is about 589.9818504424.

The spelling of 205360047 in words is "two hundred five million, three hundred sixty thousand, forty-seven".