338224097 has 2 divisors, whose sum is σ = 338224098. Its totient is φ = 338224096.

The previous prime is 338224063. The next prime is 338224099. The reversal of 338224097 is 790422833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330912481 + 7311616 = 18191^2 + 2704^2 .

It is a cyclic number.

It is not a de Polignac number, because 338224097 - 2⁸ = 338223841 is a prime.

It is a super-2 number, since 2×338224097² = 228791079582930818, which contains 22 as substring.

Together with 338224099, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 338224097.

It is not a weakly prime, because it can be changed into another prime (338224099) 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, 169112048 + 169112049.

It is an arithmetic number, because the mean of its divisors is an integer number (169112049).

Almost surely, 2^338224097 is an apocalyptic number.

It is an amenable number.

338224097 is a deficient number, since it is larger than the sum of its proper divisors (1).

338224097 is an equidigital number, since it uses as much as digits as its factorization.

338224097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 338224097 is about 18390.8699359220. The cubic root of 338224097 is about 696.7358894559.

The spelling of 338224097 in words is "three hundred thirty-eight million, two hundred twenty-four thousand, ninety-seven".