338407 has 2 divisors, whose sum is σ = 338408. Its totient is φ = 338406.

The previous prime is 338389. The next prime is 338411. The reversal of 338407 is 704833.

It is a strong prime.

It is an emirp because it is prime and its reverse (704833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338407 - 2⁷ = 338279 is a prime.

It is a super-2 number, since 2×338407² = 229038595298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338477) 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, 169203 + 169204.

It is an arithmetic number, because the mean of its divisors is an integer number (169204).

2³³⁸⁴⁰⁷ is an apocalyptic number.

338407 is a deficient number, since it is larger than the sum of its proper divisors (1).

338407 is an equidigital number, since it uses as much as digits as its factorization.

338407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 338407 is about 581.7275994828. The cubic root of 338407 is about 69.6861459180.

The spelling of 338407 in words is "three hundred thirty-eight thousand, four hundred seven".