338605601 has 2 divisors, whose sum is σ = 338605602. Its totient is φ = 338605600.

The previous prime is 338605559. The next prime is 338605637. The reversal of 338605601 is 106506833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224970001 + 113635600 = 14999^2 + 10660^2 .

It is an emirp because it is prime and its reverse (106506833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338605601 - 2¹⁰ = 338604577 is a prime.

It is a super-2 number, since 2×338605601² = 229307506057142402, which contains 22 as substring.

It is equal to p_18223628 and since 338605601 and 18223628 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (338605651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169302800 + 169302801.

It is an arithmetic number, because the mean of its divisors is an integer number (169302801).

Almost surely, 2^338605601 is an apocalyptic number.

It is an amenable number.

338605601 is a deficient number, since it is larger than the sum of its proper divisors (1).

338605601 is an equidigital number, since it uses as much as digits as its factorization.

338605601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 338605601 is about 18401.2391158856. The cubic root of 338605601 is about 696.9977549404.

The spelling of 338605601 in words is "three hundred thirty-eight million, six hundred five thousand, six hundred one".