3937509 has 6 divisors (see below), whose sum is σ = 5687526. Its totient is φ = 2625000.

The previous prime is 3937501. The next prime is 3937513. The reversal of 3937509 is 9057393.

3937509 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 only one way, i.e., 3132900 + 804609 = 1770^2 + 897^2 .

It is not a de Polignac number, because 3937509 - 2³ = 3937501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937501) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 218742 + ... + 218759.

It is an arithmetic number, because the mean of its divisors is an integer number (947921).

Almost surely, 2^3937509 is an apocalyptic number.

It is an amenable number.

3937509 is a deficient number, since it is larger than the sum of its proper divisors (1750017).

3937509 is a wasteful number, since it uses less digits than its factorization.

3937509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437507 (or 437504 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 3937509 is about 1984.3157510840. The cubic root of 3937509 is about 157.9091102529.

The spelling of 3937509 in words is "three million, nine hundred thirty-seven thousand, five hundred nine".