3972449 has 16 divisors (see below), whose sum is σ = 4551120. Its totient is φ = 3440640.

The previous prime is 3972439. The next prime is 3972467. The reversal of 3972449 is 9442793.

It can be written as a sum of positive squares in 8 ways, for example, as 71824 + 3900625 = 268^2 + 1975^2 .

It is a cyclic number.

It is not a de Polignac number, because 3972449 - 2⁸ = 3972193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3972439) 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, 15329 + ... + 15585.

It is an arithmetic number, because the mean of its divisors is an integer number (284445).

Almost surely, 2^3972449 is an apocalyptic number.

It is an amenable number.

3972449 is a deficient number, since it is larger than the sum of its proper divisors (578671).

3972449 is a wasteful number, since it uses less digits than its factorization.

3972449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340.

The product of its digits is 54432, while the sum is 38.

The square root of 3972449 is about 1993.1003487030. The cubic root of 3972449 is about 158.3748111708.

The spelling of 3972449 in words is "three million, nine hundred seventy-two thousand, four hundred forty-nine".