18003825 has 108 divisors (see below), whose sum is σ = 39693888. Its totient is φ = 7761600.

The previous prime is 18003823. The next prime is 18003827. The reversal of 18003825 is 52830081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18003823) and next prime (18003827).

It is not a de Polignac number, because 18003825 - 2¹ = 18003823 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18003823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 253540 + ... + 253610.

It is an arithmetic number, because the mean of its divisors is an integer number (367536).

Almost surely, 2^18003825 is an apocalyptic number.

18003825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18003825 is an abundant number, since it is smaller than the sum of its proper divisors (21690063).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18003825 is a wasteful number, since it uses less digits than its factorization.

18003825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18003825 is about 4243.0914437471. The cubic root of 18003825 is about 262.0927016910.

It can be divided in two parts, 1800 and 3825, that added together give a square (5625 = 75²).

The spelling of 18003825 in words is "eighteen million, three thousand, eight hundred twenty-five".