3967731 has 8 divisors (see below), whose sum is σ = 5878160. Its totient is φ = 2645136.

The previous prime is 3967727. The next prime is 3967741. The reversal of 3967731 is 1377693.

It is not a de Polignac number, because 3967731 - 2² = 3967727 is a prime.

It is a super-2 number, since 2×3967731² = 31485778576722, which contains 22 as substring.

It is a Duffinian number.

3967731 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3967741) 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 7 ways as a sum of consecutive naturals, for example, 73450 + ... + 73503.

It is an arithmetic number, because the mean of its divisors is an integer number (734770).

Almost surely, 2^3967731 is an apocalyptic number.

3967731 is a deficient number, since it is larger than the sum of its proper divisors (1910429).

3967731 is a wasteful number, since it uses less digits than its factorization.

3967731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146962 (or 146956 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 3967731 is about 1991.9164139090. The cubic root of 3967731 is about 158.3120867767.

The spelling of 3967731 in words is "three million, nine hundred sixty-seven thousand, seven hundred thirty-one".