506935 has 16 divisors (see below), whose sum is σ = 715680. Its totient is φ = 339840.

The previous prime is 506929. The next prime is 506941. The reversal of 506935 is 539605.

It is a happy number.

506935 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (506929) and next prime (506941).

It is not a de Polignac number, because 506935 - 2⁵ = 506903 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 361 + ... + 1069.

It is an arithmetic number, because the mean of its divisors is an integer number (44730).

2⁵⁰⁶⁹³⁵ is an apocalyptic number.

506935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

506935 is a deficient number, since it is larger than the sum of its proper divisors (208745).

506935 is a wasteful number, since it uses less digits than its factorization.

506935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 506935 is about 711.9936797472. The cubic root of 506935 is about 79.7353232098.

It can be divided in two parts, 506 and 935, that added together give a palindrome (1441).

The spelling of 506935 in words is "five hundred six thousand, nine hundred thirty-five".