284089 has 9 divisors (see below), whose sum is σ = 315309. Its totient is φ = 255840.

The previous prime is 284083. The next prime is 284093. The reversal of 284089 is 980482.

The square root of 284089 is 533.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 189225 + 94864 = 435^2 + 308^2 .

It is not a de Polignac number, because 284089 - 2⁵ = 284057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 284089.

It is not an unprimeable number, because it can be changed into a prime (284083) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6909 + ... + 6949.

2²⁸⁴⁰⁸⁹ is an apocalyptic number.

284089 is the 533-rd square number.

284089 is the 267-th centered octagonal number.

It is an amenable number.

284089 is a deficient number, since it is larger than the sum of its proper divisors (31220).

284089 is an equidigital number, since it uses as much as digits as its factorization.

284089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 284089 is about 65.7382501039.

The spelling of 284089 in words is "two hundred eighty-four thousand, eighty-nine".