338208133 has 2 divisors, whose sum is σ = 338208134. Its totient is φ = 338208132.

The previous prime is 338208131. The next prime is 338208137. The reversal of 338208133 is 331802833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251476164 + 86731969 = 15858^2 + 9313^2 .

It is a cyclic number.

It is not a de Polignac number, because 338208133 - 2¹ = 338208131 is a prime.

It is a super-2 number, since 2×338208133² = 228769482454691378, which contains 22 as substring.

Together with 338208131, it forms a pair of twin primes.

It is equal to p_18203368 and since 338208133 and 18203368 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 338208095 and 338208104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338208131) 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, 169104066 + 169104067.

It is an arithmetic number, because the mean of its divisors is an integer number (169104067).

Almost surely, 2^338208133 is an apocalyptic number.

It is an amenable number.

338208133 is a deficient number, since it is larger than the sum of its proper divisors (1).

338208133 is an equidigital number, since it uses as much as digits as its factorization.

338208133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 338208133 is about 18390.4359110925. The cubic root of 338208133 is about 696.7249274272.

The spelling of 338208133 in words is "three hundred thirty-eight million, two hundred eight thousand, one hundred thirty-three".