287925 has 24 divisors (see below), whose sum is σ = 520800. Its totient is φ = 139200.

The previous prime is 287921. The next prime is 287933. The reversal of 287925 is 529782.

287925 = 50² + 51² + ... + 99².

It is not a de Polignac number, because 287925 - 2² = 287921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 2¹⁰ + 8⁴ + 9³ + 7⁵ + 2¹⁸ + 5⁵ .

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 287925.

It is not an unprimeable number, because it can be changed into a prime (287921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (21700).

2²⁸⁷⁹²⁵ is an apocalyptic number.

287925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

287925 is a deficient number, since it is larger than the sum of its proper divisors (232875).

287925 is a wasteful number, since it uses less digits than its factorization.

287925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 368 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 287925 is about 536.5864329258. The cubic root of 287925 is about 66.0328119676.

The spelling of 287925 in words is "two hundred eighty-seven thousand, nine hundred twenty-five".