287825 has 12 divisors (see below), whose sum is σ = 370140. Its totient is φ = 221760.

The previous prime is 287821. The next prime is 287849. The reversal of 287825 is 528782.

It can be written as a sum of positive squares in 6 ways, for example, as 529 + 287296 = 23^2 + 536^2 .

It is not a de Polignac number, because 287825 - 2² = 287821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 287791 and 287800.

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 287825.

It is not an unprimeable number, because it can be changed into a prime (287821) 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, 527 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (30845).

2²⁸⁷⁸²⁵ is an apocalyptic number.

287825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

287825 is a deficient number, since it is larger than the sum of its proper divisors (82315).

287825 is a wasteful number, since it uses less digits than its factorization.

287825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 287825 is about 536.4932432007. The cubic root of 287825 is about 66.0251664050.

The spelling of 287825 in words is "two hundred eighty-seven thousand, eight hundred twenty-five".