3967623 has 40 divisors (see below), whose sum is σ = 6661776. Its totient is φ = 2332800.

The previous prime is 3967619. The next prime is 3967627. The reversal of 3967623 is 3267693.

3967623 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3967619) and next prime (3967627).

It is not a de Polignac number, because 3967623 - 2² = 3967619 is a prime.

3967623 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967627) 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 in 39 ways as a sum of consecutive naturals, for example, 54315 + ... + 54387.

Almost surely, 2^3967623 is an apocalyptic number.

3967623 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3967623 is a deficient number, since it is larger than the sum of its proper divisors (2694153).

3967623 is a wasteful number, since it uses less digits than its factorization.

3967623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3967623 is about 1991.8893041532. The cubic root of 3967623 is about 158.3106503671.

The spelling of 3967623 in words is "three million, nine hundred sixty-seven thousand, six hundred twenty-three".