3872873 has 2 divisors, whose sum is σ = 3872874. Its totient is φ = 3872872.

The previous prime is 3872851. The next prime is 3872887. The reversal of 3872873 is 3782783.

3872873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3545689 + 327184 = 1883^2 + 572^2 .

It is a cyclic number.

It is not a de Polignac number, because 3872873 - 2¹⁸ = 3610729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3872833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1936436 + 1936437.

It is an arithmetic number, because the mean of its divisors is an integer number (1936437).

Almost surely, 2^3872873 is an apocalyptic number.

It is an amenable number.

3872873 is a deficient number, since it is larger than the sum of its proper divisors (1).

3872873 is an equidigital number, since it uses as much as digits as its factorization.

3872873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 38.

The square root of 3872873 is about 1967.9616358049. The cubic root of 3872873 is about 157.0402887935.

The spelling of 3872873 in words is "three million, eight hundred seventy-two thousand, eight hundred seventy-three".