10711873 has 2 divisors, whose sum is σ = 10711874. Its totient is φ = 10711872.

The previous prime is 10711861. The next prime is 10711879. The reversal of 10711873 is 37811701.

10711873 is digitally balanced in base 3, 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., 8661249 + 2050624 = 2943^2 + 1432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10711873 is a prime.

It is a super-2 number, since 2×10711873² = 229488446336258, which contains 22 as substring.

It is equal to p₇₀₈₇₆₀ and since 10711873 and 708760 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10711879) 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, 5355936 + 5355937.

It is an arithmetic number, because the mean of its divisors is an integer number (5355937).

Almost surely, 2^10711873 is an apocalyptic number.

It is an amenable number.

10711873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10711873 is an equidigital number, since it uses as much as digits as its factorization.

10711873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 10711873 is about 3272.8997845947. The cubic root of 10711873 is about 220.4390200270.

The spelling of 10711873 in words is "ten million, seven hundred eleven thousand, eight hundred seventy-three".