3972737 has 2 divisors, whose sum is σ = 3972738. Its totient is φ = 3972736.

The previous prime is 3972697. The next prime is 3972751. The reversal of 3972737 is 7372793.

3972737 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., 3936256 + 36481 = 1984^2 + 191^2 .

It is a cyclic number.

It is not a de Polignac number, because 3972737 - 2¹⁰ = 3971713 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3972737.

It is not a weakly prime, because it can be changed into another prime (3972757) 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, 1986368 + 1986369.

It is an arithmetic number, because the mean of its divisors is an integer number (1986369).

Almost surely, 2^3972737 is an apocalyptic number.

It is an amenable number.

3972737 is a deficient number, since it is larger than the sum of its proper divisors (1).

3972737 is an equidigital number, since it uses as much as digits as its factorization.

3972737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55566, while the sum is 38.

The square root of 3972737 is about 1993.1725966408. The cubic root of 3972737 is about 158.3786384357.

The spelling of 3972737 in words is "three million, nine hundred seventy-two thousand, seven hundred thirty-seven".