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164328 = 23341167

164328 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 53120.

The previous prime is 164321. The next prime is 164341. The reversal of 164328 is 823461.

Adding to 164328 its reverse (823461), we get a palindrome (987789).

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 164298 and 164307.

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

164328 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2164328 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 164328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

164328 is an abundant number, since it is smaller than the sum of its proper divisors (259032).

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

164328 is a wasteful number, since it uses less digits than its factorization.

164328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 164328 is about 405.3739014786. The cubic root of 164328 is about 54.7735038052.

The spelling of 164328 in words is "one hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 167 246 328 334 492 501 668 984 1002 1336 2004 4008 6847 13694 20541 27388 41082 54776 82164 164328