286013 has 12 divisors (see below), whose sum is σ = 359100. Its totient is φ = 225792.

The previous prime is 286009. The next prime is 286019. The reversal of 286013 is 310682.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 182329 = 322^2 + 427^2 .

It is not a de Polignac number, because 286013 - 2² = 286009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286019) 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 in 11 ways as a sum of consecutive naturals, for example, 413 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2²⁸⁶⁰¹³ is an apocalyptic number.

It is an amenable number.

286013 is a deficient number, since it is larger than the sum of its proper divisors (73087).

286013 is a wasteful number, since it uses less digits than its factorization.

286013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 286013 is about 534.8018324576. The cubic root of 286013 is about 65.8863209926.

Adding to 286013 its reverse (310682), we get a palindrome (596695).

The spelling of 286013 in words is "two hundred eighty-six thousand, thirteen".