52164 has 60 divisors (see below), whose sum is σ = 162624. Its totient is φ = 14256.

The previous prime is 52163. The next prime is 52177. The reversal of 52164 is 46125.

It is a happy number.

52164 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2257 + ... + 2279.

2⁵²¹⁶⁴ is an apocalyptic number.

52164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312).

52164 is an abundant number, since it is smaller than the sum of its proper divisors (110460).

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

52164 is a wasteful number, since it uses less digits than its factorization.

52164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 35 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 52164 is about 228.3943957281. The cubic root of 52164 is about 37.3643096087.

Adding to 52164 its reverse (46125), we get a palindrome (98289).

It can be divided in two parts, 521 and 64, that added together give a palindrome (585).

The spelling of 52164 in words is "fifty-two thousand, one hundred sixty-four".