284713 has 12 divisors (see below), whose sum is σ = 338884. Its totient is φ = 237600.

The previous prime is 284707. The next prime is 284723. The reversal of 284713 is 317482.

284713 = T₂₂₂ + T₂₂₃ + ... + T₂₃₂.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 267289 = 132^2 + 517^2 .

It is not a de Polignac number, because 284713 - 2⁵ = 284681 is a prime.

It is a super-2 number, since 2×284713² = 162122984738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483 + ... + 1663.

2²⁸⁴⁷¹³ is an apocalyptic number.

It is an amenable number.

284713 is a deficient number, since it is larger than the sum of its proper divisors (54171).

284713 is a wasteful number, since it uses less digits than its factorization.

284713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 284713 is about 533.5850447679. The cubic root of 284713 is about 65.7863461475.

The spelling of 284713 in words is "two hundred eighty-four thousand, seven hundred thirteen".