328349 has 6 divisors (see below), whose sum is σ = 382014. Its totient is φ = 281400.

The previous prime is 328343. The next prime is 328357. The reversal of 328349 is 943823.

328349 = 2² + 3² + ... + 99².

It can be written as a sum of positive squares in only one way, i.e., 268324 + 60025 = 518^2 + 245^2 .

It is not a de Polignac number, because 328349 - 2⁴ = 328333 is a prime.

It is a d-powerful number, because it can be written as 3⁸ + 2 + 3¹⁰ + 8³ + 4⁹ + 9² .

It is a Duffinian 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 328349.

It is not an unprimeable number, because it can be changed into a prime (328343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3302 + ... + 3399.

It is an arithmetic number, because the mean of its divisors is an integer number (63669).

2³²⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

328349 is a deficient number, since it is larger than the sum of its proper divisors (53665).

328349 is an equidigital number, since it uses as much as digits as its factorization.

328349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6715 (or 6708 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 328349 is about 573.0174517412. The cubic root of 328349 is about 68.9887960524.

The spelling of 328349 in words is "three hundred twenty-eight thousand, three hundred forty-nine".