286875 has 40 divisors (see below), whose sum is σ = 562320. Its totient is φ = 144000.

The previous prime is 286873. The next prime is 286927. The reversal of 286875 is 578682.

It is not a de Polignac number, because 286875 - 2¹ = 286873 is a prime.

286875 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286875.

It is not an unprimeable number, because it can be changed into a prime (286873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16867 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (14058).

286875 is a Friedman number, since it can be written as 85*(8+7)^(6/2), using all its digits and the basic arithmetic operations.

2²⁸⁶⁸⁷⁵ is an apocalyptic number.

286875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

286875 is a deficient number, since it is larger than the sum of its proper divisors (275445).

286875 is an equidigital number, since it uses as much as digits as its factorization.

286875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 286875 is about 535.6071321407. The cubic root of 286875 is about 65.9524450824.

It can be divided in two parts, 28 and 6875, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 286875 in words is "two hundred eighty-six thousand, eight hundred seventy-five".