288913 has 2 divisors, whose sum is σ = 288914. Its totient is φ = 288912.

The previous prime is 288907. The next prime is 288929. The reversal of 288913 is 319882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 88209 = 448^2 + 297^2 .

It is a cyclic number.

It is not a de Polignac number, because 288913 - 2¹⁷ = 157841 is a prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (288973) 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 as a sum of consecutive naturals, namely, 144456 + 144457.

It is an arithmetic number, because the mean of its divisors is an integer number (144457).

2²⁸⁸⁹¹³ is an apocalyptic number.

It is an amenable number.

288913 is a deficient number, since it is larger than the sum of its proper divisors (1).

288913 is an equidigital number, since it uses as much as digits as its factorization.

288913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 31.

The square root of 288913 is about 537.5062790331. The cubic root of 288913 is about 66.1082551526.

Subtracting from 288913 its sum of digits (31), we obtain a palindrome (288882).

The spelling of 288913 in words is "two hundred eighty-eight thousand, nine hundred thirteen".