288825 has 12 divisors (see below), whose sum is σ = 477648. Its totient is φ = 154000.

The previous prime is 288823. The next prime is 288833. The reversal of 288825 is 528882.

It is not a de Polignac number, because 288825 - 2¹ = 288823 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288825.

It is not an unprimeable number, because it can be changed into a prime (288823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1851 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (39804).

2²⁸⁸⁸²⁵ is an apocalyptic number.

288825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288825 is a deficient number, since it is larger than the sum of its proper divisors (188823).

288825 is a wasteful number, since it uses less digits than its factorization.

288825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3859 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 288825 is about 537.4244132899. The cubic root of 288825 is about 66.1015425007.

The spelling of 288825 in words is "two hundred eighty-eight thousand, eight hundred twenty-five".