505832 has 16 divisors (see below), whose sum is σ = 967140. Its totient is φ = 247936.

The previous prime is 505823. The next prime is 505867. The reversal of 505832 is 238505.

It can be written as a sum of positive squares in 2 ways, for example, as 498436 + 7396 = 706^2 + 86^2 .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 505798 and 505807.

It is an unprimeable number.

505832 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 173 + ... + 1020.

2⁵⁰⁵⁸³² is an apocalyptic number.

It is an amenable number.

505832 is a deficient number, since it is larger than the sum of its proper divisors (461308).

505832 is a wasteful number, since it uses less digits than its factorization.

505832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 505832 is about 711.2186724208. The cubic root of 505832 is about 79.6774512768.

It can be divided in two parts, 50 and 5832, that multiplied together give a square (291600 = 540²).

The spelling of 505832 in words is "five hundred five thousand, eight hundred thirty-two".