288667 has 4 divisors (see below), whose sum is σ = 303880. Its totient is φ = 273456.

The previous prime is 288661. The next prime is 288679. The reversal of 288667 is 766882.

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 288667 - 2⁷ = 288539 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (288661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7578 + ... + 7615.

It is an arithmetic number, because the mean of its divisors is an integer number (75970).

2²⁸⁸⁶⁶⁷ is an apocalyptic number.

288667 is a deficient number, since it is larger than the sum of its proper divisors (15213).

288667 is a wasteful number, since it uses less digits than its factorization.

288667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15212.

The product of its digits is 32256, while the sum is 37.

The square root of 288667 is about 537.2773957650. The cubic root of 288667 is about 66.0894868167.

The spelling of 288667 in words is "two hundred eighty-eight thousand, six hundred sixty-seven".