287112 has 32 divisors (see below), whose sum is σ = 820800. Its totient is φ = 81984.

The previous prime is 287107. The next prime is 287117. The reversal of 287112 is 211782.

It is an interprime number because it is at equal distance from previous prime (287107) and next prime (287117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (287117) by changing a digit.

287112 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 in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2²⁸⁷¹¹² is an apocalyptic number.

It is an amenable number.

287112 is an abundant number, since it is smaller than the sum of its proper divisors (533688).

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

287112 is a wasteful number, since it uses less digits than its factorization.

287112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1721 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 287112 is about 535.8283307180. The cubic root of 287112 is about 65.9706021508.

Adding to 287112 its reverse (211782), we get a palindrome (498894).

It can be divided in two parts, 28 and 7112, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 287112 in words is "two hundred eighty-seven thousand, one hundred twelve".