506005 has 8 divisors (see below), whose sum is σ = 643032. Its totient is φ = 380928.

The previous prime is 505979. The next prime is 506047. The reversal of 506005 is 500605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7569 + 498436 = 87^2 + 706^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 506005 - 2⁷ = 505877 is a prime.

It is a Duffinian number.

506005 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 506005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2892 + ... + 3061.

It is an arithmetic number, because the mean of its divisors is an integer number (80379).

2⁵⁰⁶⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

506005 is a deficient number, since it is larger than the sum of its proper divisors (137027).

506005 is a wasteful number, since it uses less digits than its factorization.

506005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 506005 is about 711.3402842522. The cubic root of 506005 is about 79.6865337573.

It can be divided in two parts, 50600 and 5, that added together give a palindrome (50605).

The spelling of 506005 in words is "five hundred six thousand, five".