516607 has 12 divisors (see below), whose sum is σ = 647976. Its totient is φ = 408240.

The previous prime is 516599. The next prime is 516611. The reversal of 516607 is 706615.

It is not a de Polignac number, because 516607 - 2³ = 516599 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 1042.

It is an arithmetic number, because the mean of its divisors is an integer number (53998).

2⁵¹⁶⁶⁰⁷ is an apocalyptic number.

516607 is a deficient number, since it is larger than the sum of its proper divisors (131369).

516607 is a wasteful number, since it uses less digits than its factorization.

516607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 516607 is about 718.7537825987. The cubic root of 516607 is about 80.2392318053.

The spelling of 516607 in words is "five hundred sixteen thousand, six hundred seven".