287563 has 4 divisors (see below), whose sum is σ = 289800. Its totient is φ = 285328.

The previous prime is 287557. The next prime is 287579. The reversal of 287563 is 365782.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 287563 - 2¹⁷ = 156491 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2¹⁰ + 8⁴ + 5² + 7⁴ + 6⁷ + 3⁴ .

It is a Duffinian number.

287563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (287503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 913 + ... + 1186.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

2²⁸⁷⁵⁶³ is an apocalyptic number.

287563 is a deficient number, since it is larger than the sum of its proper divisors (2237).

287563 is a wasteful number, since it uses less digits than its factorization.

287563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236.

The product of its digits is 10080, while the sum is 31.

The square root of 287563 is about 536.2490093231. The cubic root of 287563 is about 66.0051266296.

It can be divided in two parts, 28756 and 3, that multiplied together give a palindrome (86268).

The spelling of 287563 in words is "two hundred eighty-seven thousand, five hundred sixty-three".