3968541 has 8 divisors (see below), whose sum is σ = 5879360. Its totient is φ = 2645676.

The previous prime is 3968537. The next prime is 3968543. The reversal of 3968541 is 1458693.

It is not a de Polignac number, because 3968541 - 2² = 3968537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3968496 and 3968505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73465 + ... + 73518.

It is an arithmetic number, because the mean of its divisors is an integer number (734920).

Almost surely, 2^3968541 is an apocalyptic number.

It is an amenable number.

3968541 is a deficient number, since it is larger than the sum of its proper divisors (1910819).

3968541 is a wasteful number, since it uses less digits than its factorization.

3968541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146992 (or 146986 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3968541 is about 1992.1197253177. The cubic root of 3968541 is about 158.3228590178.

The spelling of 3968541 in words is "three million, nine hundred sixty-eight thousand, five hundred forty-one".