3972933 has 12 divisors (see below), whose sum is σ = 5847660. Its totient is φ = 2598336.

The previous prime is 3972931. The next prime is 3972937. The reversal of 3972933 is 3392793.

It can be written as a sum of positive squares in 2 ways, for example, as 1595169 + 2377764 = 1263^2 + 1542^2 .

It is not a de Polignac number, because 3972933 - 2¹ = 3972931 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3688 + ... + 4641.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^3972933 is an apocalyptic number.

It is an amenable number.

3972933 is a deficient number, since it is larger than the sum of its proper divisors (1874727).

3972933 is a wasteful number, since it uses less digits than its factorization.

3972933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8385 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 3972933 is about 1993.2217638788. The cubic root of 3972933 is about 158.3812429963.

The spelling of 3972933 in words is "three million, nine hundred seventy-two thousand, nine hundred thirty-three".