288349945 has 16 divisors (see below), whose sum is σ = 379672272. Its totient is φ = 208915200.

The previous prime is 288349939. The next prime is 288349951. The reversal of 288349945 is 549943882.

It is an interprime number because it is at equal distance from previous prime (288349939) and next prime (288349951).

It can be written as a sum of positive squares in 8 ways, for example, as 70610409 + 217739536 = 8403^2 + 14756^2 .

It is not a de Polignac number, because 288349945 - 2¹⁵ = 288317177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288349892 and 288349901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38406 + ... + 45295.

It is an arithmetic number, because the mean of its divisors is an integer number (23729517).

Almost surely, 2^288349945 is an apocalyptic number.

It is an amenable number.

288349945 is a deficient number, since it is larger than the sum of its proper divisors (91322327).

288349945 is a wasteful number, since it uses less digits than its factorization.

288349945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83772.

The product of its digits is 2488320, while the sum is 52.

The square root of 288349945 is about 16980.8699718242. The cubic root of 288349945 is about 660.6528167323.

The spelling of 288349945 in words is "two hundred eighty-eight million, three hundred forty-nine thousand, nine hundred forty-five".