284229 has 30 divisors (see below), whose sum is σ = 482790. Its totient is φ = 166320.

The previous prime is 284227. The next prime is 284231. The reversal of 284229 is 922482.

It is an interprime number because it is at equal distance from previous prime (284227) and next prime (284231).

It can be written as a sum of positive squares in only one way, i.e., 245025 + 39204 = 495^2 + 198^2 .

It is not a de Polignac number, because 284229 - 2¹ = 284227 is a prime.

It is a super-2 number, since 2×284229² = 161572248882, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

284229 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284227) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9787 + ... + 9815.

It is an arithmetic number, because the mean of its divisors is an integer number (16093).

2²⁸⁴²²⁹ is an apocalyptic number.

284229 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

284229 is a deficient number, since it is larger than the sum of its proper divisors (198561).

284229 is a wasteful number, since it uses less digits than its factorization.

284229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 43 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 284229 is about 533.1313159063. The cubic root of 284229 is about 65.7490470063.

The spelling of 284229 in words is "two hundred eighty-four thousand, two hundred twenty-nine".