287105 has 16 divisors (see below), whose sum is σ = 424704. Its totient is φ = 181440.

The previous prime is 287099. The next prime is 287107. The reversal of 287105 is 501782.

287105 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 287105 - 2¹² = 283009 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287105.

It is not an unprimeable number, because it can be changed into a prime (287107) 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, 140 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (26544).

2²⁸⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

287105 is a deficient number, since it is larger than the sum of its proper divisors (137599).

287105 is a wasteful number, since it uses less digits than its factorization.

287105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 287105 is about 535.8217987354. The cubic root of 287105 is about 65.9700660093.

Adding to 287105 its reverse (501782), we get a palindrome (788887).

It can be divided in two parts, 287 and 105, that multiplied together give a triangular number (30135 = T₂₄₅).

The spelling of 287105 in words is "two hundred eighty-seven thousand, one hundred five".