3977509 has 2 divisors, whose sum is σ = 3977510. Its totient is φ = 3977508.

The previous prime is 3977503. The next prime is 3977527. The reversal of 3977509 is 9057793.

3977509 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., 3912484 + 65025 = 1978^2 + 255^2 .

It is a cyclic number.

It is not a de Polignac number, because 3977509 - 2⁷ = 3977381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3977503) 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, 1988754 + 1988755.

It is an arithmetic number, because the mean of its divisors is an integer number (1988755).

Almost surely, 2^3977509 is an apocalyptic number.

It is an amenable number.

3977509 is a deficient number, since it is larger than the sum of its proper divisors (1).

3977509 is an equidigital number, since it uses as much as digits as its factorization.

3977509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59535, while the sum is 40.

The square root of 3977509 is about 1994.3693238716. The cubic root of 3977509 is about 158.4420271819.

The spelling of 3977509 in words is "three million, nine hundred seventy-seven thousand, five hundred nine".