338017 has 2 divisors, whose sum is σ = 338018. Its totient is φ = 338016.

The previous prime is 337999. The next prime is 338027. The reversal of 338017 is 710833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 6241 = 576^2 + 79^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338017 is a prime.

It is a super-2 number, since 2×338017² = 228510984578, which contains 22 as substring.

It is equal to p₂₉₀₃₈ and since 338017 and 29038 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 (338027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169008 + 169009.

It is an arithmetic number, because the mean of its divisors is an integer number (169009).

2³³⁸⁰¹⁷ is an apocalyptic number.

It is an amenable number.

338017 is a deficient number, since it is larger than the sum of its proper divisors (1).

338017 is an equidigital number, since it uses as much as digits as its factorization.

338017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 338017 is about 581.3922944106. The cubic root of 338017 is about 69.6593654989.

Subtracting 338017 from its reverse (710833), we obtain a triangular number (372816 = T₈₆₃).

The spelling of 338017 in words is "three hundred thirty-eight thousand, seventeen".