505689 has 8 divisors (see below), whose sum is σ = 685920. Its totient is φ = 331296.

The previous prime is 505669. The next prime is 505691. The reversal of 505689 is 986505.

505689 = 62² + 63² + ... + 120².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 505689 - 2⁵ = 505657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505619) 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 in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 1605.

It is an arithmetic number, because the mean of its divisors is an integer number (85740).

2⁵⁰⁵⁶⁸⁹ is an apocalyptic number.

505689 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

505689 is a deficient number, since it is larger than the sum of its proper divisors (180231).

505689 is a wasteful number, since it uses less digits than its factorization.

505689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 505689 is about 711.1181336459. The cubic root of 505689 is about 79.6699422294.

The spelling of 505689 in words is "five hundred five thousand, six hundred eighty-nine".