288345813 has 16 divisors (see below), whose sum is σ = 444948480. Its totient is φ = 162682416.

The previous prime is 288345797. The next prime is 288345817. The reversal of 288345813 is 318543882.

It is not a de Polignac number, because 288345813 - 2⁴ = 288345797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288345817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85245 + ... + 88562.

It is an arithmetic number, because the mean of its divisors is an integer number (27809280).

Almost surely, 2^288345813 is an apocalyptic number.

It is an amenable number.

288345813 is a deficient number, since it is larger than the sum of its proper divisors (156602667).

288345813 is a wasteful number, since it uses less digits than its factorization.

288345813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173896.

The product of its digits is 184320, while the sum is 42.

The square root of 288345813 is about 16980.7483050659. The cubic root of 288345813 is about 660.6496610408.

The spelling of 288345813 in words is "two hundred eighty-eight million, three hundred forty-five thousand, eight hundred thirteen".