288971 has 8 divisors (see below), whose sum is σ = 310080. Its totient is φ = 268488.

The previous prime is 288947. The next prime is 288973. The reversal of 288971 is 179882.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288971 - 2⁶ = 288907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1160 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (38760).

2²⁸⁸⁹⁷¹ is an apocalyptic number.

288971 is a deficient number, since it is larger than the sum of its proper divisors (21109).

288971 is a wasteful number, since it uses less digits than its factorization.

288971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its digits is 8064, while the sum is 35.

The square root of 288971 is about 537.5602291837. The cubic root of 288971 is about 66.1126786552.

The spelling of 288971 in words is "two hundred eighty-eight thousand, nine hundred seventy-one".