287813 has 2 divisors, whose sum is σ = 287814. Its totient is φ = 287812.

The previous prime is 287801. The next prime is 287821. The reversal of 287813 is 318782.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 40804 = 497^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 287813 - 2⁸ = 287557 is a prime.

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 287813.

It is not a weakly prime, because it can be changed into another prime (287863) 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 as a sum of consecutive naturals, namely, 143906 + 143907.

It is an arithmetic number, because the mean of its divisors is an integer number (143907).

2²⁸⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

287813 is a deficient number, since it is larger than the sum of its proper divisors (1).

287813 is an equidigital number, since it uses as much as digits as its factorization.

287813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 29.

The square root of 287813 is about 536.4820593459. The cubic root of 287813 is about 66.0242488185.

The spelling of 287813 in words is "two hundred eighty-seven thousand, eight hundred thirteen".