329148 has 36 divisors (see below), whose sum is σ = 856128. Its totient is φ = 106560.

The previous prime is 329143. The next prime is 329167. The reversal of 329148 is 841923.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1365 + ... + 1587.

2³²⁹¹⁴⁸ 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 329148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064).

329148 is an abundant number, since it is smaller than the sum of its proper divisors (526980).

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

329148 is a wasteful number, since it uses less digits than its factorization.

329148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 329148 is about 573.7142145703. The cubic root of 329148 is about 69.0447095239.

It can be divided in two parts, 32 and 9148, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 329148 in words is "three hundred twenty-nine thousand, one hundred forty-eight".