682729 has 2 divisors, whose sum is σ = 682730. Its totient is φ = 682728.

The previous prime is 682723. The next prime is 682733. The reversal of 682729 is 927286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522729 + 160000 = 723^2 + 400^2 .

It is a cyclic number.

It is not a de Polignac number, because 682729 - 2⁵ = 682697 is a prime.

It is a super-2 number, since 2×682729² = 932237774882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 682694 and 682703.

It is not a weakly prime, because it can be changed into another prime (682723) 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, 341364 + 341365.

It is an arithmetic number, because the mean of its divisors is an integer number (341365).

2⁶⁸²⁷²⁹ is an apocalyptic number.

It is an amenable number.

682729 is a deficient number, since it is larger than the sum of its proper divisors (1).

682729 is an equidigital number, since it uses as much as digits as its factorization.

682729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 682729 is about 826.2741675739. The cubic root of 682729 is about 88.0540731719.

The spelling of 682729 in words is "six hundred eighty-two thousand, seven hundred twenty-nine".