18825 has 12 divisors (see below), whose sum is σ = 31248. Its totient is φ = 10000.

The previous prime is 18803. The next prime is 18839. The reversal of 18825 is 52881.

It is not a de Polignac number, because 18825 - 2⁵ = 18793 is a prime.

18825 is a lucky number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 18795 and 18804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2¹⁸⁸²⁵ is an apocalyptic number.

18825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18825 is a deficient number, since it is larger than the sum of its proper divisors (12423).

18825 is a wasteful number, since it uses less digits than its factorization.

18825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

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

The square root of 18825 is about 137.2042273401. The cubic root of 18825 is about 26.6018390573.

The spelling of 18825 in words is "eighteen thousand, eight hundred twenty-five".