288249 has 16 divisors (see below), whose sum is σ = 436800. Its totient is φ = 167616.

The previous prime is 288247. The next prime is 288257. The reversal of 288249 is 942882.

It is not a de Polignac number, because 288249 - 2¹ = 288247 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (288241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2²⁸⁸²⁴⁹ is an apocalyptic number.

It is an amenable number.

288249 is a deficient number, since it is larger than the sum of its proper divisors (148551).

288249 is a wasteful number, since it uses less digits than its factorization.

288249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its digits is 9216, while the sum is 33.

The square root of 288249 is about 536.8882565302. Note that the first 3 decimals coincide. The cubic root of 288249 is about 66.0575714374.

The spelling of 288249 in words is "two hundred eighty-eight thousand, two hundred forty-nine".