288645 has 16 divisors (see below), whose sum is σ = 528000. Its totient is φ = 131904.

The previous prime is 288583. The next prime is 288647. The reversal of 288645 is 546882.

It is not a de Polignac number, because 288645 - 2⁸ = 288389 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 8⁴ + 6⁷ + 8⁴ + 4⁴ + 5 .

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 288645.

It is not an unprimeable number, because it can be changed into a prime (288647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (33000).

2²⁸⁸⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

288645 is a deficient number, since it is larger than the sum of its proper divisors (239355).

288645 is a wasteful number, since it uses less digits than its factorization.

288645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764.

The product of its digits is 15360, while the sum is 33.

The square root of 288645 is about 537.2569217795. The cubic root of 288645 is about 66.0878078283.

The spelling of 288645 in words is "two hundred eighty-eight thousand, six hundred forty-five".