516833 has 6 divisors (see below), whose sum is σ = 540834. Its totient is φ = 493856.

The previous prime is 516829. The next prime is 516839. The reversal of 516833 is 338615.

It can be written as a sum of positive squares in only one way, i.e., 508369 + 8464 = 713^2 + 92^2 .

It is not a de Polignac number, because 516833 - 2² = 516829 is a prime.

It is a super-3 number, since 3×516833³ = 414163633386544611, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516833.

It is not an unprimeable number, because it can be changed into a prime (516839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (90139).

2⁵¹⁶⁸³³ is an apocalyptic number.

It is an amenable number.

516833 is a deficient number, since it is larger than the sum of its proper divisors (24001).

516833 is an equidigital number, since it uses as much as digits as its factorization.

516833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1000 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 516833 is about 718.9109819720. The cubic root of 516833 is about 80.2509308484.

The spelling of 516833 in words is "five hundred sixteen thousand, eight hundred thirty-three".