284013 has 16 divisors (see below), whose sum is σ = 429760. Its totient is φ = 185328.

The previous prime is 284003. The next prime is 284023. The reversal of 284013 is 310482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284003) and next prime (284023).

It is not a de Polignac number, because 284013 - 2⁶ = 283949 is a prime.

It is a Duffinian number.

It is a Curzon number.

284013 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (26860).

2²⁸⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

284013 is a deficient number, since it is larger than the sum of its proper divisors (145747).

284013 is a wasteful number, since it uses less digits than its factorization.

284013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 284013 is about 532.9287006721. The cubic root of 284013 is about 65.7323874428.

Adding to 284013 its reverse (310482), we get a palindrome (594495).

The spelling of 284013 in words is "two hundred eighty-four thousand, thirteen".