3967693 has 16 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 3606400.

The previous prime is 3967687. The next prime is 3967699.

It is a happy number.

3967693 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3967687) and next prime (3967699).

It is a cyclic number.

It is not a de Polignac number, because 3967693 - 2²¹ = 1870541 is a prime.

It is a Duffinian number.

3967693 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55848 + ... + 55918.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^3967693 is an apocalyptic number.

It is an amenable number.

3967693 is a deficient number, since it is larger than the sum of its proper divisors (386867).

3967693 is a wasteful number, since it uses less digits than its factorization.

3967693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 183708, while the sum is 43.

The square root of 3967693 is about 1991.9068753333. The cubic root of 3967693 is about 158.3115813763.

The spelling of 3967693 in words is "three million, nine hundred sixty-seven thousand, six hundred ninety-three".