505727 has 2 divisors, whose sum is σ = 505728. Its totient is φ = 505726.

The previous prime is 505711. The next prime is 505759. The reversal of 505727 is 727505.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 505727 - 2⁴ = 505711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505696 and 505705.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505727.

It is not a weakly prime, because it can be changed into another prime (505777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252863 + 252864.

It is an arithmetic number, because the mean of its divisors is an integer number (252864).

2⁵⁰⁵⁷²⁷ is an apocalyptic number.

505727 is a deficient number, since it is larger than the sum of its proper divisors (1).

505727 is an equidigital number, since it uses as much as digits as its factorization.

505727 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 505727 is about 711.1448516301. The cubic root of 505727 is about 79.6719377787.

The spelling of 505727 in words is "five hundred five thousand, seven hundred twenty-seven".