3827125 has 16 divisors (see below), whose sum is σ = 5060016. Its totient is φ = 2880000.

The previous prime is 3827093. The next prime is 3827143. The reversal of 3827125 is 5217283.

It can be written as a sum of positive squares in 8 ways, for example, as 1461681 + 2365444 = 1209^2 + 1538^2 .

It is not a de Polignac number, because 3827125 - 2⁵ = 3827093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3827093 and 3827102.

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 15 ways as a sum of consecutive naturals, for example, 1225 + ... + 3025.

It is an arithmetic number, because the mean of its divisors is an integer number (316251).

Almost surely, 2^3827125 is an apocalyptic number.

It is an amenable number.

3827125 is a deficient number, since it is larger than the sum of its proper divisors (1232891).

3827125 is a wasteful number, since it uses less digits than its factorization.

3827125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 3827125 is about 1956.3039129951. The cubic root of 3827125 is about 156.4194960684.

The spelling of 3827125 in words is "three million, eight hundred twenty-seven thousand, one hundred twenty-five".