288065 has 8 divisors (see below), whose sum is σ = 366120. Its totient is φ = 216832.

The previous prime is 288061. The next prime is 288077. The reversal of 288065 is 560882.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 146689 = 376^2 + 383^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288065 - 2² = 288061 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288065.

It is not an unprimeable number, because it can be changed into a prime (288061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1610 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (45765).

2²⁸⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

288065 is a deficient number, since it is larger than the sum of its proper divisors (78055).

288065 is a wasteful number, since it uses less digits than its factorization.

288065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 288065 is about 536.7168713577. The cubic root of 288065 is about 66.0435127817.

The spelling of 288065 in words is "two hundred eighty-eight thousand, sixty-five".