288647 has 2 divisors, whose sum is σ = 288648. Its totient is φ = 288646.

The previous prime is 288583. The next prime is 288649. The reversal of 288647 is 746882.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 288647 - 2⁶ = 288583 is a prime.

Together with 288649, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2⁸ + 8⁴ + 6⁷ + 8⁴ + 4⁴ + 7 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288647.

It is not a weakly prime, because it can be changed into another prime (288649) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144323 + 144324.

It is an arithmetic number, because the mean of its divisors is an integer number (144324).

2²⁸⁸⁶⁴⁷ is an apocalyptic number.

288647 is a deficient number, since it is larger than the sum of its proper divisors (1).

288647 is an equidigital number, since it uses as much as digits as its factorization.

288647 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21504, while the sum is 35.

The square root of 288647 is about 537.2587830832. The cubic root of 288647 is about 66.0879604672.

The spelling of 288647 in words is "two hundred eighty-eight thousand, six hundred forty-seven".