288365 has 24 divisors (see below), whose sum is σ = 443232. Its totient is φ = 178080.

The previous prime is 288361. The next prime is 288383. The reversal of 288365 is 563882.

It is not a de Polignac number, because 288365 - 2² = 288361 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288365.

It is not an unprimeable number, because it can be changed into a prime (288361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642 + ... + 2748.

It is an arithmetic number, because the mean of its divisors is an integer number (18468).

2²⁸⁸³⁶⁵ is an apocalyptic number.

It is an amenable number.

288365 is a deficient number, since it is larger than the sum of its proper divisors (154867).

288365 is a wasteful number, since it uses less digits than its factorization.

288365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 288365 is about 536.9962755923. The cubic root of 288365 is about 66.0664314284.

The spelling of 288365 in words is "two hundred eighty-eight thousand, three hundred sixty-five".