287140 has 36 divisors (see below), whose sum is σ = 703836. Its totient is φ = 98112.

The previous prime is 287137. The next prime is 287141. The reversal of 287140 is 41782.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 86436 = 448^2 + 294^2 .

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 11 ways as a sum of consecutive naturals, for example, 834 + ... + 1126.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

2²⁸⁷¹⁴⁰ is an apocalyptic number.

287140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351918).

287140 is an abundant number, since it is smaller than the sum of its proper divisors (416696).

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

287140 is a wasteful number, since it uses less digits than its factorization.

287140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 287140 is about 535.8544578521. The cubic root of 287140 is about 65.9727466297.

The spelling of 287140 in words is "two hundred eighty-seven thousand, one hundred forty".