516617 has 2 divisors, whose sum is σ = 516618. Its totient is φ = 516616.

The previous prime is 516611. The next prime is 516619. The reversal of 516617 is 716615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 341056 + 175561 = 584^2 + 419^2 .

It is a cyclic number.

It is not a de Polignac number, because 516617 - 2⁸ = 516361 is a prime.

Together with 516619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (516611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258308 + 258309.

It is an arithmetic number, because the mean of its divisors is an integer number (258309).

2⁵¹⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

516617 is a deficient number, since it is larger than the sum of its proper divisors (1).

516617 is an equidigital number, since it uses as much as digits as its factorization.

516617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 516617 is about 718.7607390502. The cubic root of 516617 is about 80.2397495343.

The spelling of 516617 in words is "five hundred sixteen thousand, six hundred seventeen".