288385 has 8 divisors (see below), whose sum is σ = 349416. Its totient is φ = 228480.

The previous prime is 288383. The next prime is 288389. The reversal of 288385 is 583882.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 288369 = 4^2 + 537^2 .

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

It is not a de Polignac number, because 288385 - 2¹ = 288383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288385.

It is not an unprimeable number, because it can be changed into a prime (288383) 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, 475 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (43677).

2²⁸⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

288385 is a deficient number, since it is larger than the sum of its proper divisors (61031).

288385 is a wasteful number, since it uses less digits than its factorization.

288385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its digits is 15360, while the sum is 34.

The square root of 288385 is about 537.0148973725. The cubic root of 288385 is about 66.0679587729.

The spelling of 288385 in words is "two hundred eighty-eight thousand, three hundred eighty-five".