288849 has 8 divisors (see below), whose sum is σ = 420192. Its totient is φ = 175040.

The previous prime is 288839. The next prime is 288851. The reversal of 288849 is 948882.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288849 - 2⁴ = 288833 is a prime.

It is a d-powerful number, because it can be written as 2¹¹ + 8⁴ + 8⁴ + 8⁶ + 4⁷ + 9² .

It is not an unprimeable number, because it can be changed into a prime (288839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4344 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (52524).

2²⁸⁸⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

288849 is a deficient number, since it is larger than the sum of its proper divisors (131343).

288849 is a wasteful number, since it uses less digits than its factorization.

288849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767.

The product of its digits is 36864, while the sum is 39.

The square root of 288849 is about 537.4467415475. The cubic root of 288849 is about 66.1033733591.

The spelling of 288849 in words is "two hundred eighty-eight thousand, eight hundred forty-nine".