284214 has 32 divisors (see below), whose sum is σ = 665856. Its totient is φ = 79200.

The previous prime is 284201. The next prime is 284227. The reversal of 284214 is 412482.

It is an interprime number because it is at equal distance from previous prime (284201) and next prime (284227).

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

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 284214.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (20808).

2²⁸⁴²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332928).

284214 is an abundant number, since it is smaller than the sum of its proper divisors (381642).

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

284214 is a wasteful number, since it uses less digits than its factorization.

284214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its digits is 512, while the sum is 21.

The square root of 284214 is about 533.1172478921. The cubic root of 284214 is about 65.7478903649.

Adding to 284214 its reverse (412482), we get a palindrome (696696).

The spelling of 284214 in words is "two hundred eighty-four thousand, two hundred fourteen".