3681825 has 24 divisors (see below), whose sum is σ = 6957888. Its totient is φ = 1682880.

The previous prime is 3681823. The next prime is 3681827. The reversal of 3681825 is 5281863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3681823) and next prime (3681827).

It is not a de Polignac number, because 3681825 - 2¹ = 3681823 is a prime.

3681825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3681823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2982 + ... + 4031.

It is an arithmetic number, because the mean of its divisors is an integer number (289912).

Almost surely, 2^3681825 is an apocalyptic number.

3681825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3681825 is a deficient number, since it is larger than the sum of its proper divisors (3276063).

3681825 is a wasteful number, since it uses less digits than its factorization.

3681825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7028 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 3681825 is about 1918.8082238723. The cubic root of 3681825 is about 154.4143700774.

The spelling of 3681825 in words is "three million, six hundred eighty-one thousand, eight hundred twenty-five".