3968547 has 16 divisors (see below), whose sum is σ = 5808000. Its totient is φ = 2390400.

The previous prime is 3968543. The next prime is 3968551. The reversal of 3968547 is 7458693.

It is a happy number.

3968547 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 (3968543) and next prime (3968551).

It is not a de Polignac number, because 3968547 - 2² = 3968543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3968499 and 3968508.

It is not an unprimeable number, because it can be changed into a prime (3968543) 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 15 ways as a sum of consecutive naturals, for example, 7704 + ... + 8202.

It is an arithmetic number, because the mean of its divisors is an integer number (363000).

Almost surely, 2^3968547 is an apocalyptic number.

3968547 is a deficient number, since it is larger than the sum of its proper divisors (1839453).

3968547 is a wasteful number, since it uses less digits than its factorization.

3968547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754.

The product of its digits is 181440, while the sum is 42.

The square root of 3968547 is about 1992.1212312507. The cubic root of 3968547 is about 158.3229388067.

It can be divided in two parts, 39 and 68547, that added together give a palindrome (68586).

The spelling of 3968547 in words is "three million, nine hundred sixty-eight thousand, five hundred forty-seven".