506905 has 12 divisors (see below), whose sum is σ = 707940. Its totient is φ = 347424.

The previous prime is 506903. The next prime is 506911. The reversal of 506905 is 509605.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 379456 = 357^2 + 616^2 .

It is not a de Polignac number, because 506905 - 2¹ = 506903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506905.

It is not an unprimeable number, because it can be changed into a prime (506903) 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 in 11 ways as a sum of consecutive naturals, for example, 790 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (58995).

2⁵⁰⁶⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

506905 is a deficient number, since it is larger than the sum of its proper divisors (201035).

506905 is a wasteful number, since it uses less digits than its factorization.

506905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 506905 is about 711.9726118328. The cubic root of 506905 is about 79.7337502883.

The spelling of 506905 in words is "five hundred six thousand, nine hundred five".