503721 has 12 divisors (see below), whose sum is σ = 736372. Its totient is φ = 331776.

The previous prime is 503717. The next prime is 503743. The reversal of 503721 is 127305.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 99225 = 636^2 + 315^2 .

It is not a de Polignac number, because 503721 - 2² = 503717 is a prime.

It is a Duffinian number.

503721 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 503694 and 503703.

It is not an unprimeable number, because it can be changed into a prime (503771) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 585 + ... + 1161.

2⁵⁰³⁷²¹ is an apocalyptic number.

It is an amenable number.

503721 is a deficient number, since it is larger than the sum of its proper divisors (232651).

503721 is a wasteful number, since it uses less digits than its factorization.

503721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 503721 is about 709.7330484062. The cubic root of 503721 is about 79.5664568315.

The spelling of 503721 in words is "five hundred three thousand, seven hundred twenty-one".