3137509 has 2 divisors, whose sum is σ = 3137510. Its totient is φ = 3137508.

The previous prime is 3137507. The next prime is 3137513. The reversal of 3137509 is 9057313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2965284 + 172225 = 1722^2 + 415^2 .

It is an emirp because it is prime and its reverse (9057313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3137509 - 2¹ = 3137507 is a prime.

Together with 3137507, it forms a pair of twin primes.

3137509 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3137507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1568754 + 1568755.

It is an arithmetic number, because the mean of its divisors is an integer number (1568755).

Almost surely, 2^3137509 is an apocalyptic number.

It is an amenable number.

3137509 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137509 is an equidigital number, since it uses as much as digits as its factorization.

3137509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 3137509 is about 1771.3014988985. The cubic root of 3137509 is about 146.3957020696.

The spelling of 3137509 in words is "three million, one hundred thirty-seven thousand, five hundred nine".