505729 has 6 divisors (see below), whose sum is σ = 588354. Its totient is φ = 433440.

The previous prime is 505727. The next prime is 505759. The reversal of 505729 is 927505.

It can be written as a sum of positive squares in only one way, i.e., 442225 + 63504 = 665^2 + 252^2 .

It is not a de Polignac number, because 505729 - 2¹ = 505727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505697 and 505706.

It is not an unprimeable number, because it can be changed into a prime (505727) 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 in 5 ways as a sum of consecutive naturals, for example, 5112 + ... + 5209.

It is an arithmetic number, because the mean of its divisors is an integer number (98059).

2⁵⁰⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

505729 is a deficient number, since it is larger than the sum of its proper divisors (82625).

505729 is a wasteful number, since it uses less digits than its factorization.

505729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 505729 is about 711.1462578120. The cubic root of 505729 is about 79.6720428048.

The spelling of 505729 in words is "five hundred five thousand, seven hundred twenty-nine".