5735729 has 2 divisors, whose sum is σ = 5735730. Its totient is φ = 5735728.

The previous prime is 5735711. The next prime is 5735731. The reversal of 5735729 is 9275375.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5071504 + 664225 = 2252^2 + 815^2 .

It is a cyclic number.

It is not a de Polignac number, because 5735729 - 2¹⁶ = 5670193 is a prime.

It is a super-2 number, since 2×5735729² = 65797174322882, which contains 22 as substring.

Together with 5735731, 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 = 5735692 and 5735701.

It is not a weakly prime, because it can be changed into another prime (5735759) 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, 2867864 + 2867865.

It is an arithmetic number, because the mean of its divisors is an integer number (2867865).

Almost surely, 2^5735729 is an apocalyptic number.

It is an amenable number.

5735729 is a deficient number, since it is larger than the sum of its proper divisors (1).

5735729 is an equidigital number, since it uses as much as digits as its factorization.

5735729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 66150, while the sum is 38.

The square root of 5735729 is about 2394.9382037957. The cubic root of 5735729 is about 179.0040572096.

The spelling of 5735729 in words is "five million, seven hundred thirty-five thousand, seven hundred twenty-nine".