288981 has 32 divisors (see below), whose sum is σ = 537600. Its totient is φ = 149040.

The previous prime is 288979. The next prime is 288989. The reversal of 288981 is 189882.

It is not a de Polignac number, because 288981 - 2¹ = 288979 is a prime.

It is a super-2 number, since 2×288981² = 167020036722, which contains 22 as substring.

288981 is a lucky number.

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 288981.

It is not an unprimeable number, because it can be changed into a prime (288989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010 + ... + 2148.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2²⁸⁸⁹⁸¹ is an apocalyptic number.

288981 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

288981 is a deficient number, since it is larger than the sum of its proper divisors (248619).

288981 is a wasteful number, since it uses less digits than its factorization.

288981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 288981 is about 537.5695303865. The cubic root of 288981 is about 66.1134412683.

Subtracting from 288981 its reverse (189882), we obtain a palindrome (99099).

It can be divided in two parts, 28 and 8981, that added together give a palindrome (9009).

The spelling of 288981 in words is "two hundred eighty-eight thousand, nine hundred eighty-one".