506729 has 2 divisors, whose sum is σ = 506730. Its totient is φ = 506728.

The previous prime is 506699. The next prime is 506731. The reversal of 506729 is 927605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 458329 + 48400 = 677^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 506729 - 2¹² = 502633 is a prime.

Together with 506731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506329) 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, 253364 + 253365.

It is an arithmetic number, because the mean of its divisors is an integer number (253365).

2⁵⁰⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

506729 is a deficient number, since it is larger than the sum of its proper divisors (1).

506729 is an equidigital number, since it uses as much as digits as its factorization.

506729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 506729 is about 711.8490008422. The cubic root of 506729 is about 79.7245212319.

The spelling of 506729 in words is "five hundred six thousand, seven hundred twenty-nine".