329550401 has 2 divisors, whose sum is σ = 329550402. Its totient is φ = 329550400.

The previous prime is 329550311. The next prime is 329550413. The reversal of 329550401 is 104055923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192543376 + 137007025 = 13876^2 + 11705^2 .

It is an emirp because it is prime and its reverse (104055923) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 329550401 - 2¹⁸ = 329288257 is a prime.

It is not a weakly prime, because it can be changed into another prime (329550451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164775200 + 164775201.

It is an arithmetic number, because the mean of its divisors is an integer number (164775201).

Almost surely, 2^329550401 is an apocalyptic number.

It is an amenable number.

329550401 is a deficient number, since it is larger than the sum of its proper divisors (1).

329550401 is an equidigital number, since it uses as much as digits as its factorization.

329550401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 329550401 is about 18153.5231015911. The cubic root of 329550401 is about 690.7283501304.

The spelling of 329550401 in words is "three hundred twenty-nine million, five hundred fifty thousand, four hundred one".