288767 has 2 divisors, whose sum is σ = 288768. Its totient is φ = 288766.

The previous prime is 288751. The next prime is 288773. The reversal of 288767 is 767882.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 288767 - 2⁴ = 288751 is a prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 288767.

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 288767.

It is not a weakly prime, because it can be changed into another prime (288467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144383 + 144384.

It is an arithmetic number, because the mean of its divisors is an integer number (144384).

2²⁸⁸⁷⁶⁷ is an apocalyptic number.

288767 is a deficient number, since it is larger than the sum of its proper divisors (1).

288767 is an equidigital number, since it uses as much as digits as its factorization.

288767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37632, while the sum is 38.

The square root of 288767 is about 537.3704495039. The cubic root of 288767 is about 66.0971175073.

The spelling of 288767 in words is "two hundred eighty-eight thousand, seven hundred sixty-seven".