328961 has 2 divisors, whose sum is σ = 328962. Its totient is φ = 328960.

The previous prime is 328931. The next prime is 328981. The reversal of 328961 is 169823.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250000 + 78961 = 500^2 + 281^2 .

It is an emirp because it is prime and its reverse (169823) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 328961 - 2⁶ = 328897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (328901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164480 + 164481.

It is an arithmetic number, because the mean of its divisors is an integer number (164481).

2³²⁸⁹⁶¹ is an apocalyptic number.

328961 is the 257-th centered decagonal number.

It is an amenable number.

328961 is a deficient number, since it is larger than the sum of its proper divisors (1).

328961 is an equidigital number, since it uses as much as digits as its factorization.

328961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The square root of 328961 is about 573.5512182883. The cubic root of 328961 is about 69.0316315098.

The spelling of 328961 in words is "three hundred twenty-eight thousand, nine hundred sixty-one".