3937513 has 2 divisors, whose sum is σ = 3937514. Its totient is φ = 3937512.

The previous prime is 3937501. The next prime is 3937537. The reversal of 3937513 is 3157393.

3937513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2319529 + 1617984 = 1523^2 + 1272^2 .

It is a cyclic number.

It is not a de Polignac number, because 3937513 - 2⁵ = 3937481 is a prime.

It is not a weakly prime, because it can be changed into another prime (3937573) 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 as a sum of consecutive naturals, namely, 1968756 + 1968757.

It is an arithmetic number, because the mean of its divisors is an integer number (1968757).

Almost surely, 2^3937513 is an apocalyptic number.

It is an amenable number.

3937513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3937513 is an equidigital number, since it uses as much as digits as its factorization.

3937513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8505, while the sum is 31.

The square root of 3937513 is about 1984.3167589878. The cubic root of 3937513 is about 157.9091637247.

The spelling of 3937513 in words is "three million, nine hundred thirty-seven thousand, five hundred thirteen".