288381205 has 16 divisors (see below), whose sum is σ = 400504320. Its totient is φ = 195242112.

The previous prime is 288381187. The next prime is 288381209. The reversal of 288381205 is 502183882.

It is a cyclic number.

It is not a de Polignac number, because 288381205 - 2⁷ = 288381077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288381209) 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, 49384 + ... + 54913.

It is an arithmetic number, because the mean of its divisors is an integer number (25031520).

Almost surely, 2^288381205 is an apocalyptic number.

It is an amenable number.

288381205 is a deficient number, since it is larger than the sum of its proper divisors (112123115).

288381205 is a wasteful number, since it uses less digits than its factorization.

288381205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104388.

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 288381205 is about 16981.7903944195. The cubic root of 288381205 is about 660.6766896469.

The spelling of 288381205 in words is "two hundred eighty-eight million, three hundred eighty-one thousand, two hundred five".