288361 has 2 divisors, whose sum is σ = 288362. Its totient is φ = 288360.

The previous prime is 288359. The next prime is 288383. The reversal of 288361 is 163882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281961 + 6400 = 531^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 288361 - 2¹ = 288359 is a prime.

Together with 288359, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (288061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144180 + 144181.

It is an arithmetic number, because the mean of its divisors is an integer number (144181).

2²⁸⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

288361 is a deficient number, since it is larger than the sum of its proper divisors (1).

288361 is an equidigital number, since it uses as much as digits as its factorization.

288361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The square root of 288361 is about 536.9925511588. The cubic root of 288361 is about 66.0661259510.

The spelling of 288361 in words is "two hundred eighty-eight thousand, three hundred sixty-one".