516984 has 32 divisors (see below), whose sum is σ = 1392720. Its totient is φ = 158976.

The previous prime is 516979. The next prime is 516991. The reversal of 516984 is 489615.

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 516984.

It is an unprimeable number.

516984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 1140.

2⁵¹⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

516984 is an abundant number, since it is smaller than the sum of its proper divisors (875736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516984 is a wasteful number, since it uses less digits than its factorization.

516984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1675 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 516984 is about 719.0159942588. The cubic root of 516984 is about 80.2587455653.

It can be divided in two parts, 5169 and 84, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 516984 in words is "five hundred sixteen thousand, nine hundred eighty-four".