287744 has 22 divisors (see below), whose sum is σ = 577254. Its totient is φ = 143360.

The previous prime is 287731. The next prime is 287747. The reversal of 287744 is 447782.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 25600 = 512^2 + 160^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 287744.

It is not an unprimeable number, because it can be changed into a prime (287747) by changing a digit.

287744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 884 + ... + 1164.

287744 is a Friedman number, since it can be written as 8^4*(72-7/4), using all its digits and the basic arithmetic operations.

2²⁸⁷⁷⁴⁴ 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 287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288627).

287744 is an abundant number, since it is smaller than the sum of its proper divisors (289510).

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

287744 is an equidigital number, since it uses as much as digits as its factorization.

287744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 283 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 287744 is about 536.4177476557. The cubic root of 287744 is about 66.0189722011.

The spelling of 287744 in words is "two hundred eighty-seven thousand, seven hundred forty-four".