506984 has 16 divisors (see below), whose sum is σ = 960000. Its totient is φ = 250992.

The previous prime is 506983. The next prime is 506993. The reversal of 506984 is 489605.

It is a self number, because there is not a number n which added to its sum of digits gives 506984.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506984.

It is not an unprimeable number, because it can be changed into a prime (506983) 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 3 ways as a sum of consecutive naturals, for example, 767 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (60000).

2⁵⁰⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

506984 is a deficient number, since it is larger than the sum of its proper divisors (453016).

506984 is a wasteful number, since it uses less digits than its factorization.

506984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 506984 is about 712.0280893336. The cubic root of 506984 is about 79.7378921815.

The spelling of 506984 in words is "five hundred six thousand, nine hundred eighty-four".