3967157 has 2 divisors, whose sum is σ = 3967158. Its totient is φ = 3967156.

The previous prime is 3967147. The next prime is 3967189. The reversal of 3967157 is 7517693.

3967157 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., 2588881 + 1378276 = 1609^2 + 1174^2 .

It is a cyclic number.

It is not a de Polignac number, because 3967157 - 2⁴ = 3967141 is a prime.

It is a super-3 number, since 3×3967157³ (a number of 21 digits) contains 333 as substring.

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 3967157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3967127) 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, 1983578 + 1983579.

It is an arithmetic number, because the mean of its divisors is an integer number (1983579).

Almost surely, 2^3967157 is an apocalyptic number.

It is an amenable number.

3967157 is a deficient number, since it is larger than the sum of its proper divisors (1).

3967157 is an equidigital number, since it uses as much as digits as its factorization.

3967157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39690, while the sum is 38.

The square root of 3967157 is about 1991.7723263466. The cubic root of 3967157 is about 158.3044522268.

The spelling of 3967157 in words is "three million, nine hundred sixty-seven thousand, one hundred fifty-seven".