282120 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 75200.

The previous prime is 282103. The next prime is 282127. The reversal of 282120 is 21282.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 282120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282127) by changing a digit.

282120 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, 1056 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2²⁸²¹²⁰ is an apocalyptic number.

282120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282120 is an abundant number, since it is smaller than the sum of its proper divisors (564600).

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

282120 is a wasteful number, since it uses less digits than its factorization.

282120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 282120 is about 531.1496964134. The cubic root of 282120 is about 65.5860222053.

The spelling of 282120 in words is "two hundred eighty-two thousand, one hundred twenty".