2105729 has 2 divisors, whose sum is σ = 2105730. Its totient is φ = 2105728.

The previous prime is 2105717. The next prime is 2105731. The reversal of 2105729 is 9275012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2096704 + 9025 = 1448^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105729 - 2¹⁶ = 2040193 is a prime.

Together with 2105731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2105698 and 2105707.

It is not a weakly prime, because it can be changed into another prime (2105759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052864 + 1052865.

It is an arithmetic number, because the mean of its divisors is an integer number (1052865).

2^2105729 is an apocalyptic number.

It is an amenable number.

2105729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105729 is an equidigital number, since it uses as much as digits as its factorization.

2105729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 2105729 is about 1451.1130210979. The cubic root of 2105729 is about 128.1742621595.

The spelling of 2105729 in words is "two million, one hundred five thousand, seven hundred twenty-nine".