516321 has 16 divisors (see below), whose sum is σ = 824320. Its totient is φ = 317520.

The previous prime is 516319. The next prime is 516323. The reversal of 516321 is 123615.

It is an interprime number because it is at equal distance from previous prime (516319) and next prime (516323).

It is not a de Polignac number, because 516321 - 2¹ = 516319 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 516294 and 516303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516321.

It is not an unprimeable number, because it can be changed into a prime (516323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (51520).

2⁵¹⁶³²¹ is an apocalyptic number.

It is an amenable number.

516321 is a deficient number, since it is larger than the sum of its proper divisors (307999).

516321 is a wasteful number, since it uses less digits than its factorization.

516321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 516321 is about 718.5547995804. The cubic root of 516321 is about 80.2244219296.

Adding to 516321 its reverse (123615), we get a palindrome (639936).

It can be divided in two parts, 5163 and 21, that added together give a square (5184 = 72²).

The spelling of 516321 in words is "five hundred sixteen thousand, three hundred twenty-one".