3837825 has 36 divisors (see below), whose sum is σ = 7075068. Its totient is φ = 1987200.

The previous prime is 3837787. The next prime is 3837851. The reversal of 3837825 is 5287383.

3837825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 144 + 3837681 = 12^2 + 1959^2 .

It is not a de Polignac number, because 3837825 - 2⁸ = 3837569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3837825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8095 + ... + 8555.

Almost surely, 2^3837825 is an apocalyptic number.

It is an amenable number.

3837825 is a deficient number, since it is larger than the sum of its proper divisors (3237243).

3837825 is a wasteful number, since it uses less digits than its factorization.

3837825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3837825 is about 1959.0367531009. The cubic root of 3837825 is about 156.5651346563.

The spelling of 3837825 in words is "three million, eight hundred thirty-seven thousand, eight hundred twenty-five".