3691125 has 48 divisors (see below), whose sum is σ = 7081776. Its totient is φ = 1843200.

The previous prime is 3691087. The next prime is 3691147. The reversal of 3691125 is 5211963.

3691125 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 8 ways, for example, as 1153476 + 2537649 = 1074^2 + 1593^2 .

It is not a de Polignac number, because 3691125 - 2⁹ = 3690613 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19029 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (147537).

Almost surely, 2^3691125 is an apocalyptic number.

It is an amenable number.

3691125 is a deficient number, since it is larger than the sum of its proper divisors (3390651).

3691125 is a wasteful number, since it uses less digits than its factorization.

3691125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 3691125 is about 1921.2300747178. The cubic root of 3691125 is about 154.5442736095.

The spelling of 3691125 in words is "three million, six hundred ninety-one thousand, one hundred twenty-five".