287325 has 18 divisors (see below), whose sum is σ = 515034. Its totient is φ = 153120.

The previous prime is 287321. The next prime is 287327. The reversal of 287325 is 523782.

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 257049 = 174^2 + 507^2 .

It is not a de Polignac number, because 287325 - 2² = 287321 is a prime.

It is a d-powerful number, because it can be written as 2¹⁰ + 8⁶ + 3⁹ + 7⁴ + 2¹¹ + 5² .

287325 is a lucky number.

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 287325.

It is not an unprimeable number, because it can be changed into a prime (287321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (28613).

2²⁸⁷³²⁵ is an apocalyptic number.

287325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

287325 is a deficient number, since it is larger than the sum of its proper divisors (227709).

287325 is a wasteful number, since it uses less digits than its factorization.

287325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1285 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 287325 is about 536.0270515562. The cubic root of 287325 is about 65.9869120053.

The spelling of 287325 in words is "two hundred eighty-seven thousand, three hundred twenty-five".