506689 has 2 divisors, whose sum is σ = 506690. Its totient is φ = 506688.

The previous prime is 506687. The next prime is 506699. The reversal of 506689 is 986605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 146689 = 600^2 + 383^2 .

It is a cyclic number.

It is not a de Polignac number, because 506689 - 2¹ = 506687 is a prime.

Together with 506687, it forms a pair of twin primes.

506689 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506683) 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, 253344 + 253345.

It is an arithmetic number, because the mean of its divisors is an integer number (253345).

2⁵⁰⁶⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

506689 is a deficient number, since it is larger than the sum of its proper divisors (1).

506689 is an equidigital number, since it uses as much as digits as its factorization.

506689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 506689 is about 711.8209044416. The cubic root of 506689 is about 79.7224234211.

The spelling of 506689 in words is "five hundred six thousand, six hundred eighty-nine".