288141 has 8 divisors (see below), whose sum is σ = 439104. Its totient is φ = 164640.

The previous prime is 288137. The next prime is 288179. The reversal of 288141 is 141882.

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

It is not a de Polignac number, because 288141 - 2² = 288137 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

288141 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 288141.

It is not an unprimeable number, because it can be changed into a prime (288181) 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, 6840 + ... + 6881.

It is an arithmetic number, because the mean of its divisors is an integer number (54888).

2²⁸⁸¹⁴¹ is an apocalyptic number.

288141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

288141 is a deficient number, since it is larger than the sum of its proper divisors (150963).

288141 is a wasteful number, since it uses less digits than its factorization.

288141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731.

The product of its digits is 512, while the sum is 24.

The square root of 288141 is about 536.7876675185. The cubic root of 288141 is about 66.0493203433.

The spelling of 288141 in words is "two hundred eighty-eight thousand, one hundred forty-one".