284049 has 12 divisors (see below), whose sum is σ = 421876. Its totient is φ = 184032.

The previous prime is 284041. The next prime is 284051. The reversal of 284049 is 940482.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 154449 = 360^2 + 393^2 .

It is not a de Polignac number, because 284049 - 2³ = 284041 is a prime.

It is a super-3 number, since 3×284049³ = 68754487433308947, which contains 333 as substring.

It is a Duffinian number.

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 284049.

It is not an unprimeable number, because it can be changed into a prime (284041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 759.

2²⁸⁴⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

284049 is a deficient number, since it is larger than the sum of its proper divisors (137827).

284049 is a wasteful number, since it uses less digits than its factorization.

284049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 284049 is about 532.9624752269. The cubic root of 284049 is about 65.7351646231.

The spelling of 284049 in words is "two hundred eighty-four thousand, forty-nine".