329361 has 8 divisors (see below), whose sum is σ = 443904. Its totient is φ = 217200.

The previous prime is 329347. The next prime is 329387. The reversal of 329361 is 163923.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 329361 - 2⁶ = 329297 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329361.

It is not an unprimeable number, because it can be changed into a prime (329321) 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 7 ways as a sum of consecutive naturals, for example, 241 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (55488).

2³²⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

329361 is a deficient number, since it is larger than the sum of its proper divisors (114543).

329361 is a wasteful number, since it uses less digits than its factorization.

329361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its digits is 972, while the sum is 24.

The square root of 329361 is about 573.8998170413. The cubic root of 329361 is about 69.0595998386.

The spelling of 329361 in words is "three hundred twenty-nine thousand, three hundred sixty-one".