288313 has 2 divisors, whose sum is σ = 288314. Its totient is φ = 288312.

The previous prime is 288307. The next prime is 288317. The reversal of 288313 is 313882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190969 + 97344 = 437^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 288313 - 2⁹ = 287801 is a prime.

It is not a weakly prime, because it can be changed into another prime (288317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144156 + 144157.

It is an arithmetic number, because the mean of its divisors is an integer number (144157).

2²⁸⁸³¹³ is an apocalyptic number.

It is an amenable number.

288313 is a deficient number, since it is larger than the sum of its proper divisors (1).

288313 is an equidigital number, since it uses as much as digits as its factorization.

288313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 25.

The square root of 288313 is about 536.9478559413. The cubic root of 288313 is about 66.0624600022.

The spelling of 288313 in words is "two hundred eighty-eight thousand, three hundred thirteen".