288093349 has 2 divisors, whose sum is σ = 288093350. Its totient is φ = 288093348.

The previous prime is 288093313. The next prime is 288093383. The reversal of 288093349 is 943390882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272844324 + 15249025 = 16518^2 + 3905^2 .

It is a cyclic number.

It is not a de Polignac number, because 288093349 - 2¹⁵ = 288060581 is a prime.

It is a super-3 number, since 3×288093349³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288093299 and 288093308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288093389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144046674 + 144046675.

It is an arithmetic number, because the mean of its divisors is an integer number (144046675).

Almost surely, 2^288093349 is an apocalyptic number.

It is an amenable number.

288093349 is a deficient number, since it is larger than the sum of its proper divisors (1).

288093349 is an equidigital number, since it uses as much as digits as its factorization.

288093349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 288093349 is about 16973.3128469371. The cubic root of 288093349 is about 660.4567919804.

The spelling of 288093349 in words is "two hundred eighty-eight million, ninety-three thousand, three hundred forty-nine".