516829 has 2 divisors, whose sum is σ = 516830. Its totient is φ = 516828.

The previous prime is 516821. The next prime is 516839. The reversal of 516829 is 928615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 492804 + 24025 = 702^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 516829 - 2³ = 516821 is a prime.

It is a super-2 number, since 2×516829² = 534224430482, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (516821) 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 as a sum of consecutive naturals, namely, 258414 + 258415.

It is an arithmetic number, because the mean of its divisors is an integer number (258415).

2⁵¹⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

516829 is a deficient number, since it is larger than the sum of its proper divisors (1).

516829 is an equidigital number, since it uses as much as digits as its factorization.

516829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 31.

The square root of 516829 is about 718.9081999811. The cubic root of 516829 is about 80.2507238154.

The spelling of 516829 in words is "five hundred sixteen thousand, eight hundred twenty-nine".