2971873 has 2 divisors, whose sum is σ = 2971874. Its totient is φ = 2971872.

The previous prime is 2971849. The next prime is 2971879. The reversal of 2971873 is 3781792.

2971873 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., 2650384 + 321489 = 1628^2 + 567^2 .

It is a cyclic number.

It is not a de Polignac number, because 2971873 - 2⁵ = 2971841 is a prime.

It is not a weakly prime, because it can be changed into another prime (2971879) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1485936 + 1485937.

It is an arithmetic number, because the mean of its divisors is an integer number (1485937).

2^2971873 is an apocalyptic number.

It is an amenable number.

2971873 is a deficient number, since it is larger than the sum of its proper divisors (1).

2971873 is an equidigital number, since it uses as much as digits as its factorization.

2971873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 37.

The square root of 2971873 is about 1723.9121207301. The cubic root of 2971873 is about 143.7728059595.

It can be divided in two parts, 29718 and 73, that added together give a cube (29791 = 31³).

The spelling of 2971873 in words is "two million, nine hundred seventy-one thousand, eight hundred seventy-three".