3957509 has 2 divisors, whose sum is σ = 3957510. Its totient is φ = 3957508.

The previous prime is 3957493. The next prime is 3957521. The reversal of 3957509 is 9057593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2402500 + 1555009 = 1550^2 + 1247^2 .

It is an emirp because it is prime and its reverse (9057593) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3957509 - 2⁴ = 3957493 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3950509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1978754 + 1978755.

It is an arithmetic number, because the mean of its divisors is an integer number (1978755).

Almost surely, 2^3957509 is an apocalyptic number.

It is an amenable number.

3957509 is a deficient number, since it is larger than the sum of its proper divisors (1).

3957509 is an equidigital number, since it uses as much as digits as its factorization.

3957509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42525, while the sum is 38.

The square root of 3957509 is about 1989.3488884557. The cubic root of 3957509 is about 158.1760175852.

The spelling of 3957509 in words is "three million, nine hundred fifty-seven thousand, five hundred nine".