288045 has 24 divisors (see below), whose sum is σ = 515736. Its totient is φ = 148608.

The previous prime is 288023. The next prime is 288049. The reversal of 288045 is 540882.

It can be written as a sum of positive squares in 4 ways, for example, as 145161 + 142884 = 381^2 + 378^2 .

It is not a de Polignac number, because 288045 - 2⁸ = 287789 is a prime.

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 288045.

It is not an unprimeable number, because it can be changed into a prime (288049) 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, 1579 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (21489).

2²⁸⁸⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

288045 is a deficient number, since it is larger than the sum of its proper divisors (227691).

288045 is a wasteful number, since it uses less digits than its factorization.

288045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 288045 is about 536.6982392369. The cubic root of 288045 is about 66.0419843063.

It can be divided in two parts, 2880 and 45, that multiplied together give a square (129600 = 360²).

The spelling of 288045 in words is "two hundred eighty-eight thousand, forty-five".