3828125 has 24 divisors (see below), whose sum is σ = 5566392. Its totient is φ = 2625000.

The previous prime is 3828119. The next prime is 3828133. The reversal of 3828125 is 5218283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 3786916 + 41209 = 1946^2 + 203^2 .

It is not a de Polignac number, because 3828125 - 2⁴ = 3828109 is a prime.

It is a Duffinian number.

Its product of digits (3840) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 546872 + ... + 546878.

It is an arithmetic number, because the mean of its divisors is an integer number (231933).

Almost surely, 2^3828125 is an apocalyptic number.

3828125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3828125 is a deficient number, since it is larger than the sum of its proper divisors (1738267).

3828125 is an frugal number, since it uses more digits than its factorization.

3828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 12 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 3828125 is about 1956.5594803123. The cubic root of 3828125 is about 156.4331186419.

The spelling of 3828125 in words is "three million, eight hundred twenty-eight thousand, one hundred twenty-five".