3964221 has 20 divisors (see below), whose sum is σ = 5989500. Its totient is φ = 2612736.

The previous prime is 3964201. The next prime is 3964229. The reversal of 3964221 is 1224693.

It can be written as a sum of positive squares in 2 ways, for example, as 2595321 + 1368900 = 1611^2 + 1170^2 .

It is not a de Polignac number, because 3964221 - 2⁶ = 3964157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

3964221 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8605 + ... + 9053.

It is an arithmetic number, because the mean of its divisors is an integer number (299475).

Almost surely, 2^3964221 is an apocalyptic number.

It is an amenable number.

3964221 is a deficient number, since it is larger than the sum of its proper divisors (2025279).

3964221 is a wasteful number, since it uses less digits than its factorization.

3964221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3964221 is about 1991.0351579015. The cubic root of 3964221 is about 158.2653901162.

The spelling of 3964221 in words is "three million, nine hundred sixty-four thousand, two hundred twenty-one".