509982 has 16 divisors (see below), whose sum is σ = 1112832. Its totient is φ = 154520.

The previous prime is 509963. The next prime is 509989. The reversal of 509982 is 289905.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509989) by changing a digit.

509982 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, 3798 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (69552).

2⁵⁰⁹⁹⁸² is an apocalyptic number.

509982 is an abundant number, since it is smaller than the sum of its proper divisors (602850).

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

509982 is a wasteful number, since it uses less digits than its factorization.

509982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7743.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 509982 is about 714.1302402223. The cubic root of 509982 is about 79.8947574441.

Adding to 509982 its sum of digits (33), we get a palindrome (510015).

The spelling of 509982 in words is "five hundred nine thousand, nine hundred eighty-two".