164052 has 72 divisors (see below), whose sum is σ = 510720. Its totient is φ = 45360.

The previous prime is 164051. The next prime is 164057. The reversal of 164052 is 250461.

164052 = 8³ + 9³ + ... + 28³.

It is a happy number.

164052 is nontrivially palindromic in base 5 and base 13.

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 (164051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5277 + ... + 5307.

2¹⁶⁴⁰⁵² is an apocalyptic number.

164052 is a gapful number since it is divisible by the number (12) 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 164052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255360).

164052 is an abundant number, since it is smaller than the sum of its proper divisors (346668).

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

164052 is a wasteful number, since it uses less digits than its factorization.

164052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

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

The square root of 164052 is about 405.0333319617. The cubic root of 164052 is about 54.7428213519.

The spelling of 164052 in words is "one hundred sixty-four thousand, fifty-two".