288105361 has 2 divisors, whose sum is σ = 288105362. Its totient is φ = 288105360.

The previous prime is 288105359. The next prime is 288105373. The reversal of 288105361 is 163501882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287641600 + 463761 = 16960^2 + 681^2 .

It is a cyclic number.

It is not a de Polignac number, because 288105361 - 2¹ = 288105359 is a prime.

Together with 288105359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (288105331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144052680 + 144052681.

It is an arithmetic number, because the mean of its divisors is an integer number (144052681).

Almost surely, 2^288105361 is an apocalyptic number.

It is an amenable number.

288105361 is a deficient number, since it is larger than the sum of its proper divisors (1).

288105361 is an equidigital number, since it uses as much as digits as its factorization.

288105361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 288105361 is about 16973.6666928510. Note that the first 4 decimals coincide. The cubic root of 288105361 is about 660.4659710616.

The spelling of 288105361 in words is "two hundred eighty-eight million, one hundred five thousand, three hundred sixty-one".