284172 has 48 divisors (see below), whose sum is σ = 806400. Its totient is φ = 76032.

The previous prime is 284161. The next prime is 284173. The reversal of 284172 is 271482.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284172.

It is not an unprimeable number, because it can be changed into a prime (284173) by changing a digit.

284172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1329 + ... + 1527.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2²⁸⁴¹⁷² 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 284172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

284172 is an abundant number, since it is smaller than the sum of its proper divisors (522228).

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

284172 is a wasteful number, since it uses less digits than its factorization.

284172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 284172 is about 533.0778554770. The cubic root of 284172 is about 65.7446515526.

The spelling of 284172 in words is "two hundred eighty-four thousand, one hundred seventy-two".