284813 has 2 divisors, whose sum is σ = 284814. Its totient is φ = 284812.

The previous prime is 284807. The next prime is 284819. The reversal of 284813 is 318482.

It is a balanced prime because it is at equal distance from previous prime (284807) and next prime (284819).

It can be written as a sum of positive squares in only one way, i.e., 170569 + 114244 = 413^2 + 338^2 .

It is a cyclic number.

It is not a de Polignac number, because 284813 - 2⁶ = 284749 is a prime.

It is a super-2 number, since 2×284813² = 162236889938, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 16.

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 284813.

It is not a weakly prime, because it can be changed into another prime (284819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 142406 + 142407.

It is an arithmetic number, because the mean of its divisors is an integer number (142407).

2²⁸⁴⁸¹³ is an apocalyptic number.

It is an amenable number.

284813 is a deficient number, since it is larger than the sum of its proper divisors (1).

284813 is an equidigital number, since it uses as much as digits as its factorization.

284813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536, while the sum is 26.

The square root of 284813 is about 533.6787423160. The cubic root of 284813 is about 65.7940473115.

The spelling of 284813 in words is "two hundred eighty-four thousand, eight hundred thirteen".