287144 has 32 divisors (see below), whose sum is σ = 635040. Its totient is φ = 120000.

The previous prime is 287141. The next prime is 287149. The reversal of 287144 is 441782.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287144.

It is not an unprimeable number, because it can be changed into a prime (287141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019 + ... + 1269.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2²⁸⁷¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

287144 is an abundant number, since it is smaller than the sum of its proper divisors (347896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287144 is a wasteful number, since it uses less digits than its factorization.

287144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 287144 is about 535.8581901959. The cubic root of 287144 is about 65.9730529724.

It can be divided in two parts, 287 and 144, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 287144 in words is "two hundred eighty-seven thousand, one hundred forty-four".