288112 has 20 divisors (see below), whose sum is σ = 609336. Its totient is φ = 130880.

The previous prime is 288109. The next prime is 288137. The reversal of 288112 is 211882.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643 + ... + 994.

2²⁸⁸¹¹² is an apocalyptic number.

288112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

288112 is an abundant number, since it is smaller than the sum of its proper divisors (321224).

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

288112 is a wasteful number, since it uses less digits than its factorization.

288112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 288112 is about 536.7606542957. The cubic root of 288112 is about 66.0471044206.

Adding to 288112 its reverse (211882), we get a palindrome (499994).

It can be divided in two parts, 288 and 112, that added together give a square (400 = 20²).

The spelling of 288112 in words is "two hundred eighty-eight thousand, one hundred twelve".