288763 has 4 divisors (see below), whose sum is σ = 295848. Its totient is φ = 281680.

The previous prime is 288751. The next prime is 288767. The reversal of 288763 is 367882.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 288763 - 2⁵ = 288731 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3481 + ... + 3562.

It is an arithmetic number, because the mean of its divisors is an integer number (73962).

2²⁸⁸⁷⁶³ is an apocalyptic number.

288763 is a deficient number, since it is larger than the sum of its proper divisors (7085).

288763 is an equidigital number, since it uses as much as digits as its factorization.

288763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084.

The product of its digits is 16128, while the sum is 34.

The square root of 288763 is about 537.3667276637. The cubic root of 288763 is about 66.0968123135.

The spelling of 288763 in words is "two hundred eighty-eight thousand, seven hundred sixty-three".