505657 has 2 divisors, whose sum is σ = 505658. Its totient is φ = 505656.

The previous prime is 505643. The next prime is 505663. The reversal of 505657 is 756505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 116281 = 624^2 + 341^2 .

It is a cyclic number.

It is not a de Polignac number, because 505657 - 2¹¹ = 503609 is a prime.

It is not a weakly prime, because it can be changed into another prime (505607) 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, 252828 + 252829.

It is an arithmetic number, because the mean of its divisors is an integer number (252829).

2⁵⁰⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

505657 is a deficient number, since it is larger than the sum of its proper divisors (1).

505657 is an equidigital number, since it uses as much as digits as its factorization.

505657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 505657 is about 711.0956335121. The cubic root of 505657 is about 79.6682616893.

The spelling of 505657 in words is "five hundred five thousand, six hundred fifty-seven".