328146 has 32 divisors (see below), whose sum is σ = 809088. Its totient is φ = 86400.

The previous prime is 328129. The next prime is 328171. The reversal of 328146 is 641823.

328146 = 9² + 10² + ... + 99².

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328146.

It is an unprimeable number.

328146 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 15 ways as a sum of consecutive naturals, for example, 246 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (25284).

2³²⁸¹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404544).

328146 is an abundant number, since it is smaller than the sum of its proper divisors (480942).

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

328146 is a wasteful number, since it uses less digits than its factorization.

328146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626.

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

The square root of 328146 is about 572.8402918790. The cubic root of 328146 is about 68.9745758044.

Adding to 328146 its reverse (641823), we get a palindrome (969969).

It can be divided in two parts, 328 and 146, that added together give a palindrome (474).

The spelling of 328146 in words is "three hundred twenty-eight thousand, one hundred forty-six".