288241 has 2 divisors, whose sum is σ = 288242. Its totient is φ = 288240.

The previous prime is 288227. The next prime is 288247. The reversal of 288241 is 142882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 34225 = 504^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 288241 - 2⁵ = 288209 is a prime.

It is not a weakly prime, because it can be changed into another prime (288247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144120 + 144121.

It is an arithmetic number, because the mean of its divisors is an integer number (144121).

2²⁸⁸²⁴¹ is an apocalyptic number.

It is an amenable number.

288241 is a deficient number, since it is larger than the sum of its proper divisors (1).

288241 is an equidigital number, since it uses as much as digits as its factorization.

288241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1024, while the sum is 25.

The square root of 288241 is about 536.8808061386. The cubic root of 288241 is about 66.0569603159.

It can be divided in two parts, 288 and 241, that added together give a square (529 = 23²).

The spelling of 288241 in words is "two hundred eighty-eight thousand, two hundred forty-one".