516663 has 24 divisors (see below), whose sum is σ = 873600. Its totient is φ = 288144.

The previous prime is 516653. The next prime is 516673. The reversal of 516663 is 366615.

It is an interprime number because it is at equal distance from previous prime (516653) and next prime (516673).

It is not a de Polignac number, because 516663 - 2⁶ = 516599 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516663.

It is not an unprimeable number, because it can be changed into a prime (516623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3648 + ... + 3786.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2⁵¹⁶⁶⁶³ is an apocalyptic number.

516663 is a deficient number, since it is larger than the sum of its proper divisors (356937).

516663 is a wasteful number, since it uses less digits than its factorization.

516663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 516663 is about 718.7927378598. The cubic root of 516663 is about 80.2421310012.

Subtracting from 516663 its sum of digits (27), we obtain a triangular number (516636 = T₁₀₁₆).

The spelling of 516663 in words is "five hundred sixteen thousand, six hundred sixty-three".