509922 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 136080.

The previous prime is 509921. The next prime is 509939. The reversal of 509922 is 229905.

509922 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (509921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7147 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁵⁰⁹⁹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

509922 is an abundant number, since it is smaller than the sum of its proper divisors (872478).

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

509922 is a wasteful number, since it uses less digits than its factorization.

509922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 509922 is about 714.0882298428. The cubic root of 509922 is about 79.8916240829.

It can be divided in two parts, 509 and 922, that added together give a triangular number (1431 = T₅₃).

The spelling of 509922 in words is "five hundred nine thousand, nine hundred twenty-two".