288982 has 16 divisors (see below), whose sum is σ = 460800. Its totient is φ = 135720.

The previous prime is 288979. The next prime is 288989. The reversal of 288982 is 289882.

288982 = T₆₈ + T₆₉ + ... + T₁₂₆.

It is an Ulam number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3619 + ... + 3697.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2²⁸⁸⁹⁸² is an apocalyptic number.

288982 is a deficient number, since it is larger than the sum of its proper divisors (171818).

288982 is a wasteful number, since it uses less digits than its factorization.

288982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its digits is 18432, while the sum is 37.

The square root of 288982 is about 537.5704604980. The cubic root of 288982 is about 66.1135175286.

Subtracting 288982 from its reverse (289882), we obtain a square (900 = 30²).

It can be divided in two parts, 28898 and 2, that added together give a square (28900 = 170²).

The spelling of 288982 in words is "two hundred eighty-eight thousand, nine hundred eighty-two".