284867 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 231840.

The previous prime is 284857. The next prime is 284881. The reversal of 284867 is 768482.

It is a cyclic number.

It is not a de Polignac number, because 284867 - 2⁶ = 284803 is a prime.

It is a super-2 number, since 2×284867² = 162298415378, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284867.

It is not an unprimeable number, because it can be changed into a prime (284807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6038 + ... + 6084.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁸⁴⁸⁶⁷ is an apocalyptic number.

284867 is a deficient number, since it is larger than the sum of its proper divisors (60733).

284867 is a wasteful number, since it uses less digits than its factorization.

284867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its digits is 21504, while the sum is 35.

The square root of 284867 is about 533.7293321525. The cubic root of 284867 is about 65.7982051906.

Multiplying 284867 by its sum of digits (35), we get a triangular number (9970345 = T₄₄₆₅).

The spelling of 284867 in words is "two hundred eighty-four thousand, eight hundred sixty-seven".