501084 has 36 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 161280.

The previous prime is 501077. The next prime is 501089. The reversal of 501084 is 480105.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 501084.

It is not an unprimeable number, because it can be changed into a prime (501089) 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 11 ways as a sum of consecutive naturals, for example, 892 + ... + 1340.

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

2⁵⁰¹⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

501084 is an abundant number, since it is smaller than the sum of its proper divisors (809316).

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

501084 is a wasteful number, since it uses less digits than its factorization.

501084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 501084 is about 707.8728699421. The cubic root of 501084 is about 79.4273692888.

Adding to 501084 its reverse (480105), we get a palindrome (981189).

The spelling of 501084 in words is "five hundred one thousand, eighty-four".