284829 has 12 divisors (see below), whose sum is σ = 402336. Its totient is φ = 179208.

The previous prime is 284819. The next prime is 284831. The reversal of 284829 is 928482.

It is not a de Polignac number, because 284829 - 2⁴ = 284813 is a prime.

It is a super-2 number, since 2×284829² = 162255118482, which contains 22 as substring.

It is a Curzon number.

284829 is a lucky number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 284829.

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 284829.

It is not an unprimeable number, because it can be changed into a prime (284819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (33528).

2²⁸⁴⁸²⁹ is an apocalyptic number.

It is an amenable number.

284829 is a deficient number, since it is larger than the sum of its proper divisors (117507).

284829 is a wasteful number, since it uses less digits than its factorization.

284829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 284829 is about 533.6937323971. The cubic root of 284829 is about 65.7952793305.

The spelling of 284829 in words is "two hundred eighty-four thousand, eight hundred twenty-nine".