284838 has 16 divisors (see below), whose sum is σ = 589680. Its totient is φ = 91616.

The previous prime is 284833. The next prime is 284839. The reversal of 284838 is 838482.

It is a super-2 number, since 2×284838² = 162265372488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 284799 and 284808.

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 284838.

It is not an unprimeable number, because it can be changed into a prime (284831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2²⁸⁴⁸³⁸ is an apocalyptic number.

284838 is an abundant number, since it is smaller than the sum of its proper divisors (304842).

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

284838 is a wasteful number, since it uses less digits than its factorization.

284838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671.

The product of its digits is 12288, while the sum is 33.

The square root of 284838 is about 533.7021641328. The cubic root of 284838 is about 65.7959723209.

The spelling of 284838 in words is "two hundred eighty-four thousand, eight hundred thirty-eight".