287625 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 139200.

The previous prime is 287611. The next prime is 287629. The reversal of 287625 is 526782.

It is not a de Polignac number, because 287625 - 2¹⁴ = 271241 is a prime.

Its product of digits (6720) is a multiple of the sum of its prime divisors (80).

It is a Curzon number.

287625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 287592 and 287601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287625.

It is not an unprimeable number, because it can be changed into a prime (287629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4846 + ... + 4904.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²⁸⁷⁶²⁵ is an apocalyptic number.

287625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

287625 is a deficient number, since it is larger than the sum of its proper divisors (236535).

287625 is a wasteful number, since it uses less digits than its factorization.

287625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 287625 is about 536.3068151721. The cubic root of 287625 is about 66.0098699656.

The spelling of 287625 in words is "two hundred eighty-seven thousand, six hundred twenty-five".