3967887 has 32 divisors (see below), whose sum is σ = 6704640. Its totient is φ = 2027520.

The previous prime is 3967877. The next prime is 3967913. The reversal of 3967887 is 7887693.

3967887 = T₂₅₃ + T₂₅₄ + ... + T₃₄₁.

It is not a de Polignac number, because 3967887 - 2⁴ = 3967871 is a prime.

3967887 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967837) 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 in 31 ways as a sum of consecutive naturals, for example, 20463 + ... + 20655.

It is an arithmetic number, because the mean of its divisors is an integer number (209520).

Almost surely, 2^3967887 is an apocalyptic number.

3967887 is a deficient number, since it is larger than the sum of its proper divisors (2736753).

3967887 is a wasteful number, since it uses less digits than its factorization.

3967887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 508032, while the sum is 48.

The square root of 3967887 is about 1991.9555717937. The cubic root of 3967887 is about 158.3141615445.

The spelling of 3967887 in words is "three million, nine hundred sixty-seven thousand, eight hundred eighty-seven".