288945 has 12 divisors (see below), whose sum is σ = 500916. Its totient is φ = 154080.

The previous prime is 288931. The next prime is 288947. The reversal of 288945 is 549882.

288945 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 197136 = 303^2 + 444^2 .

It is not a de Polignac number, because 288945 - 2⁴ = 288929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3166 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (41743).

2²⁸⁸⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

288945 is a deficient number, since it is larger than the sum of its proper divisors (211971).

288945 is a wasteful number, since it uses less digits than its factorization.

288945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6432 (or 6429 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 288945 is about 537.5360453030. The cubic root of 288945 is about 66.1106957790.

The spelling of 288945 in words is "two hundred eighty-eight thousand, nine hundred forty-five".