164322 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 51264.

The previous prime is 164321. The next prime is 164341. The reversal of 164322 is 223461.

It is a happy number.

164322 is a `hidden beast` number, since 1 + 643 + 22 = 666.

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

It is a d-powerful number, because it can be written as 1 + 6³ + 3² + 4⁴ + 2¹⁵ + 2¹⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 164295 and 164304.

It is not an unprimeable number, because it can be changed into a prime (164321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁶⁴³²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

164322 is an abundant number, since it is smaller than the sum of its proper divisors (224478).

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

164322 is a wasteful number, since it uses less digits than its factorization.

164322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 164322 is about 405.3665008360. The cubic root of 164322 is about 54.7728371608.

Adding to 164322 its reverse (223461), we get a palindrome (387783).

The spelling of 164322 in words is "one hundred sixty-four thousand, three hundred twenty-two".