164352 has 40 divisors (see below), whose sum is σ = 441936. Its totient is φ = 54272.

The previous prime is 164341. The next prime is 164357. The reversal of 164352 is 253461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (164357) by changing a digit.

164352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1483 + ... + 1589.

2¹⁶⁴³⁵² is an apocalyptic number.

164352 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 164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968).

164352 is an abundant number, since it is smaller than the sum of its proper divisors (277584).

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

164352 is an equidigital number, since it uses as much as digits as its factorization.

164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 164352 is about 405.4035026982. The cubic root of 164352 is about 54.7761702206.

The spelling of 164352 in words is "one hundred sixty-four thousand, three hundred fifty-two".