3972757 has 2 divisors, whose sum is σ = 3972758. Its totient is φ = 3972756.

The previous prime is 3972751. The next prime is 3972791. The reversal of 3972757 is 7572793.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3944196 + 28561 = 1986^2 + 169^2 .

It is an emirp because it is prime and its reverse (7572793) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3972757 - 2¹⁵ = 3939989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3972751) 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, 1986378 + 1986379.

It is an arithmetic number, because the mean of its divisors is an integer number (1986379).

Almost surely, 2^3972757 is an apocalyptic number.

It is an amenable number.

3972757 is a deficient number, since it is larger than the sum of its proper divisors (1).

3972757 is an equidigital number, since it uses as much as digits as its factorization.

3972757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92610, while the sum is 40.

The square root of 3972757 is about 1993.1776137615. The cubic root of 3972757 is about 158.3789042111.

The spelling of 3972757 in words is "three million, nine hundred seventy-two thousand, seven hundred fifty-seven".