284509 has 2 divisors, whose sum is σ = 284510. Its totient is φ = 284508.

The previous prime is 284507. The next prime is 284521. The reversal of 284509 is 905482.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235225 + 49284 = 485^2 + 222^2 .

It is a cyclic number.

It is not a de Polignac number, because 284509 - 2¹ = 284507 is a prime.

Together with 284507, it forms a pair of twin primes.

It is a Chen prime.

284509 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (284507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 142254 + 142255.

It is an arithmetic number, because the mean of its divisors is an integer number (142255).

2²⁸⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

284509 is a deficient number, since it is larger than the sum of its proper divisors (1).

284509 is an equidigital number, since it uses as much as digits as its factorization.

284509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 284509 is about 533.3938507332. The cubic root of 284509 is about 65.7706301795.

The spelling of 284509 in words is "two hundred eighty-four thousand, five hundred nine".