288305 has 12 divisors (see below), whose sum is σ = 364980. Its totient is φ = 218592.

The previous prime is 288293. The next prime is 288307. The reversal of 288305 is 503882.

It can be written as a sum of positive squares in 2 ways, for example, as 152881 + 135424 = 391^2 + 368^2 .

It is not a de Polignac number, because 288305 - 2⁶ = 288241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288307) 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, 2591 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (30415).

2²⁸⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

288305 is a deficient number, since it is larger than the sum of its proper divisors (76675).

288305 is a wasteful number, since it uses less digits than its factorization.

288305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 288305 is about 536.9404063767. The cubic root of 288305 is about 66.0618489711.

The spelling of 288305 in words is "two hundred eighty-eight thousand, three hundred five".