288093 has 16 divisors (see below), whose sum is σ = 423360. Its totient is φ = 173184.

The previous prime is 288089. The next prime is 288109. The reversal of 288093 is 390882.

It is not a de Polignac number, because 288093 - 2² = 288089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288093.

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 288093.

It is not an unprimeable number, because it can be changed into a prime (288023) 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, 3193 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2²⁸⁸⁰⁹³ is an apocalyptic number.

It is an amenable number.

288093 is a deficient number, since it is larger than the sum of its proper divisors (135267).

288093 is a wasteful number, since it uses less digits than its factorization.

288093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 288093 is about 536.7429552402. The cubic root of 288093 is about 66.0456525285.

The spelling of 288093 in words is "two hundred eighty-eight thousand, ninety-three".