3967733 has 12 divisors (see below), whose sum is σ = 4968672. Its totient is φ = 3078120.

The previous prime is 3967727. The next prime is 3967741. The reversal of 3967733 is 3377693.

It is not a de Polignac number, because 3967733 - 2⁶ = 3967669 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967793) 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 11 ways as a sum of consecutive naturals, for example, 17366 + ... + 17592.

It is an arithmetic number, because the mean of its divisors is an integer number (414056).

Almost surely, 2^3967733 is an apocalyptic number.

It is an amenable number.

3967733 is a deficient number, since it is larger than the sum of its proper divisors (1000939).

3967733 is an equidigital number, since it uses as much as digits as its factorization.

3967733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 245 counting only the distinct ones).

The product of its digits is 71442, while the sum is 38.

The square root of 3967733 is about 1991.9169159380. The cubic root of 3967733 is about 158.3121133766.

The spelling of 3967733 in words is "three million, nine hundred sixty-seven thousand, seven hundred thirty-three".