3825 has 18 divisors (see below), whose sum is σ = 7254. Its totient is φ = 1920.

The previous prime is 3823. The next prime is 3833. The reversal of 3825 is 5283.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 3249 = 24^2 + 57^2 .

It is not a de Polignac number, because 3825 - 2¹ = 3823 is a prime.

It is an Ulam number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 3798 and 3807.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3825.

It is not an unprimeable number, because it can be changed into a prime (3821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 217 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (403).

It is an amenable number.

3825 is a deficient number, since it is larger than the sum of its proper divisors (3429).

3825 is a wasteful number, since it uses less digits than its factorization.

3825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 25 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 3825 is about 61.8465843843. The cubic root of 3825 is about 15.6390540219.

It can be divided in two parts, 3 and 825, that added together give a palindrome (828).

The spelling of 3825 in words is "three thousand, eight hundred twenty-five".