284805 has 12 divisors (see below), whose sum is σ = 493740. Its totient is φ = 151872.

The previous prime is 284803. The next prime is 284807. The reversal of 284805 is 508482.

It is an interprime number because it is at equal distance from previous prime (284803) and next prime (284807).

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 123201 = 402^2 + 351^2 .

It is not a de Polignac number, because 284805 - 2¹ = 284803 is a prime.

It is a super-2 number, since 2×284805² = 162227776050, which contains 22 as substring.

284805 is a lucky number.

It is a plaindrome in base 12.

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 284805.

It is not an unprimeable number, because it can be changed into a prime (284803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3120 + ... + 3209.

It is an arithmetic number, because the mean of its divisors is an integer number (41145).

2²⁸⁴⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

284805 is a deficient number, since it is larger than the sum of its proper divisors (208935).

284805 is a wasteful number, since it uses less digits than its factorization.

284805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 284805 is about 533.6712471175. The cubic root of 284805 is about 65.7934312847.

It can be divided in two parts, 284 and 805, that added together give a square (1089 = 33²).

The spelling of 284805 in words is "two hundred eighty-four thousand, eight hundred five".