3972813 has 32 divisors (see below), whose sum is σ = 6150144. Its totient is φ = 2261952.

The previous prime is 3972811. The next prime is 3972817. The reversal of 3972813 is 3182793.

It is not a de Polignac number, because 3972813 - 2¹ = 3972811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38520 + ... + 38622.

It is an arithmetic number, because the mean of its divisors is an integer number (192192).

Almost surely, 2^3972813 is an apocalyptic number.

It is an amenable number.

3972813 is a deficient number, since it is larger than the sum of its proper divisors (2177331).

3972813 is a wasteful number, since it uses less digits than its factorization.

3972813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185.

The product of its digits is 9072, while the sum is 33.

The square root of 3972813 is about 1993.1916616322. The cubic root of 3972813 is about 158.3796483775.

The spelling of 3972813 in words is "three million, nine hundred seventy-two thousand, eight hundred thirteen".