288349 has 2 divisors, whose sum is σ = 288350. Its totient is φ = 288348.

The previous prime is 288317. The next prime is 288359. The reversal of 288349 is 943882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 85849 = 450^2 + 293^2 .

It is a cyclic number.

It is not a de Polignac number, because 288349 - 2⁵ = 288317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144174 + 144175.

It is an arithmetic number, because the mean of its divisors is an integer number (144175).

2²⁸⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

288349 is a deficient number, since it is larger than the sum of its proper divisors (1).

288349 is an equidigital number, since it uses as much as digits as its factorization.

288349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 34.

The square root of 288349 is about 536.9813777032. The cubic root of 288349 is about 66.0652095019.

The spelling of 288349 in words is "two hundred eighty-eight thousand, three hundred forty-nine".