108825 has 12 divisors (see below), whose sum is σ = 180048. Its totient is φ = 58000.

The previous prime is 108821. The next prime is 108827. The reversal of 108825 is 528801.

It is not a de Polignac number, because 108825 - 2² = 108821 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 108795 and 108804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108825.

It is not an unprimeable number, because it can be changed into a prime (108821) 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, 651 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (15004).

2¹⁰⁸⁸²⁵ is an apocalyptic number.

108825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108825 is a deficient number, since it is larger than the sum of its proper divisors (71223).

108825 is a wasteful number, since it uses less digits than its factorization.

108825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 108825 is about 329.8863440641. The cubic root of 108825 is about 47.7429839019.

Subtracting from 108825 its sum of digits (24), we obtain a palindrome (108801).

The spelling of 108825 in words is "one hundred eight thousand, eight hundred twenty-five".