3137993 has 2 divisors, whose sum is σ = 3137994. Its totient is φ = 3137992.

The previous prime is 3137977. The next prime is 3137999. The reversal of 3137993 is 3997313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1607824 + 1530169 = 1268^2 + 1237^2 .

It is a cyclic number.

It is not a de Polignac number, because 3137993 - 2⁴ = 3137977 is a prime.

It is not a weakly prime, because it can be changed into another prime (3137999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1568996 + 1568997.

It is an arithmetic number, because the mean of its divisors is an integer number (1568997).

Almost surely, 2^3137993 is an apocalyptic number.

It is an amenable number.

3137993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137993 is an equidigital number, since it uses as much as digits as its factorization.

3137993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15309, while the sum is 35.

The square root of 3137993 is about 1771.4381163337. The cubic root of 3137993 is about 146.4032294718.

The spelling of 3137993 in words is "three million, one hundred thirty-seven thousand, nine hundred ninety-three".