505164 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 147840.

The previous prime is 505159. The next prime is 505181. The reversal of 505164 is 461505.

505164 = T₁₂₉ + T₁₃₀ + ... + T₁₇₂.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 505164.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5632 + ... + 5720.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁵⁰⁵¹⁶⁴ 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 505164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

505164 is an abundant number, since it is smaller than the sum of its proper divisors (825396).

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

505164 is a wasteful number, since it uses less digits than its factorization.

505164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 505164 is about 710.7489008082. The cubic root of 505164 is about 79.6423619032.

Adding to 505164 its reverse (461505), we get a palindrome (966669).

It can be divided in two parts, 5051 and 64, that added together give a palindrome (5115).

The spelling of 505164 in words is "five hundred five thousand, one hundred sixty-four".