503829 has 24 divisors (see below), whose sum is σ = 800280. Its totient is φ = 304128.

The previous prime is 503827. The next prime is 503851. The reversal of 503829 is 928305.

503829 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 342225 = 402^2 + 585^2 .

It is not a de Polignac number, because 503829 - 2¹ = 503827 is a prime.

It is a super-2 number, since 2×503829² = 507687322482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5617 + ... + 5705.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

2⁵⁰³⁸²⁹ is an apocalyptic number.

It is an amenable number.

503829 is a deficient number, since it is larger than the sum of its proper divisors (296451).

503829 is a wasteful number, since it uses less digits than its factorization.

503829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 503829 is about 709.8091292735. The cubic root of 503829 is about 79.5721428914.

The spelling of 503829 in words is "five hundred three thousand, eight hundred twenty-nine".