288400117 has 2 divisors, whose sum is σ = 288400118. Its totient is φ = 288400116.

The previous prime is 288400043. The next prime is 288400127. The reversal of 288400117 is 711004882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282441636 + 5958481 = 16806^2 + 2441^2 .

It is a cyclic number.

It is not a de Polignac number, because 288400117 - 2²⁷ = 154182389 is a prime.

It is a super-2 number, since 2×288400117² = 166349254971227378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288400127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144200058 + 144200059.

It is an arithmetic number, because the mean of its divisors is an integer number (144200059).

Almost surely, 2^288400117 is an apocalyptic number.

It is an amenable number.

288400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

288400117 is an equidigital number, since it uses as much as digits as its factorization.

288400117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 288400117 is about 16982.3472170369. The cubic root of 288400117 is about 660.6911316935.

Adding to 288400117 its reverse (711004882), we get a palindrome (999404999).

The spelling of 288400117 in words is "two hundred eighty-eight million, four hundred thousand, one hundred seventeen".