3712589 has 2 divisors, whose sum is σ = 3712590. Its totient is φ = 3712588.

The previous prime is 3712573. The next prime is 3712601. The reversal of 3712589 is 9852173.

3712589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2464900 + 1247689 = 1570^2 + 1117^2 .

It is a cyclic number.

It is not a de Polignac number, because 3712589 - 2⁴ = 3712573 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3712549) 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, 1856294 + 1856295.

It is an arithmetic number, because the mean of its divisors is an integer number (1856295).

Almost surely, 2^3712589 is an apocalyptic number.

It is an amenable number.

3712589 is a deficient number, since it is larger than the sum of its proper divisors (1).

3712589 is an equidigital number, since it uses as much as digits as its factorization.

3712589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 35.

The square root of 3712589 is about 1926.8079821300. The cubic root of 3712589 is about 154.8432546544.

The spelling of 3712589 in words is "three million, seven hundred twelve thousand, five hundred eighty-nine".