329383361 has 8 divisors (see below), whose sum is σ = 341283624. Its totient is φ = 317640960.

The previous prime is 329383337. The next prime is 329383367. The reversal of 329383361 is 163383923.

It can be written as a sum of positive squares in 4 ways, for example, as 3400336 + 325983025 = 1844^2 + 18055^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 329383361 - 2¹⁴ = 329366977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329383367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35210 + ... + 43571.

It is an arithmetic number, because the mean of its divisors is an integer number (42660453).

Almost surely, 2^329383361 is an apocalyptic number.

It is an amenable number.

329383361 is a deficient number, since it is larger than the sum of its proper divisors (11900263).

329383361 is a wasteful number, since it uses less digits than its factorization.

329383361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78931.

The product of its digits is 69984, while the sum is 38.

The square root of 329383361 is about 18148.9217586059. The cubic root of 329383361 is about 690.6116266965.

The spelling of 329383361 in words is "three hundred twenty-nine million, three hundred eighty-three thousand, three hundred sixty-one".