288967 has 4 divisors (see below), whose sum is σ = 330256. Its totient is φ = 247680.

The previous prime is 288947. The next prime is 288973. The reversal of 288967 is 769882.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769882 = 2 ⋅384941.

It is a cyclic number.

It is not a de Polignac number, because 288967 - 2⁷ = 288839 is a prime.

It is a Duffinian number.

288967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20634 + ... + 20647.

It is an arithmetic number, because the mean of its divisors is an integer number (82564).

2²⁸⁸⁹⁶⁷ is an apocalyptic number.

288967 is a deficient number, since it is larger than the sum of its proper divisors (41289).

288967 is an equidigital number, since it uses as much as digits as its factorization.

288967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41288.

The product of its digits is 48384, while the sum is 40.

The square root of 288967 is about 537.5565086575. The cubic root of 288967 is about 66.1123736051.

The spelling of 288967 in words is "two hundred eighty-eight thousand, nine hundred sixty-seven".