10709873 has 2 divisors, whose sum is σ = 10709874. Its totient is φ = 10709872.

The previous prime is 10709861. The next prime is 10709879. The reversal of 10709873 is 37890701.

10709873 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., 10291264 + 418609 = 3208^2 + 647^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10709873 is a prime.

It is a super-2 number, since 2×10709873² = 229402759352258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10709879) 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 as a sum of consecutive naturals, namely, 5354936 + 5354937.

It is an arithmetic number, because the mean of its divisors is an integer number (5354937).

Almost surely, 2^10709873 is an apocalyptic number.

It is an amenable number.

10709873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10709873 is an equidigital number, since it uses as much as digits as its factorization.

10709873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 10709873 is about 3272.5942308817. The cubic root of 10709873 is about 220.4252998780.

The spelling of 10709873 in words is "ten million, seven hundred nine thousand, eight hundred seventy-three".