328205349 has 24 divisors (see below), whose sum is σ = 504555480. Its totient is φ = 204868608.

The previous prime is 328205333. The next prime is 328205351. The reversal of 328205349 is 943502823.

It can be written as a sum of positive squares in 4 ways, for example, as 91814724 + 236390625 = 9582^2 + 15375^2 .

It is not a de Polignac number, because 328205349 - 2⁴ = 328205333 is a prime.

It is a super-2 number, since 2×328205349² = 215437502224423602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328205359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24697 + ... + 35585.

It is an arithmetic number, because the mean of its divisors is an integer number (21023145).

Almost surely, 2^328205349 is an apocalyptic number.

It is an amenable number.

328205349 is a deficient number, since it is larger than the sum of its proper divisors (176350131).

328205349 is a wasteful number, since it uses less digits than its factorization.

328205349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 328205349 is about 18116.4386400860. The cubic root of 328205349 is about 689.7873383700.

The spelling of 328205349 in words is "three hundred twenty-eight million, two hundred five thousand, three hundred forty-nine".