287505 has 12 divisors (see below), whose sum is σ = 498420. Its totient is φ = 153312.

The previous prime is 287503. The next prime is 287537. The reversal of 287505 is 505782.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33489 + 254016 = 183^2 + 504^2 .

It is not a de Polignac number, because 287505 - 2¹ = 287503 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287505.

It is not an unprimeable number, because it can be changed into a prime (287501) 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 in 11 ways as a sum of consecutive naturals, for example, 3150 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (41535).

2²⁸⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

287505 is a deficient number, since it is larger than the sum of its proper divisors (210915).

287505 is a wasteful number, since it uses less digits than its factorization.

287505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 287505 is about 536.1949272419. The cubic root of 287505 is about 66.0006886980. Note that the first 3 decimals are identical.

The spelling of 287505 in words is "two hundred eighty-seven thousand, five hundred five".