338117 has 8 divisors (see below), whose sum is σ = 376320. Its totient is φ = 301680.

The previous prime is 338033. The next prime is 338119. The reversal of 338117 is 711833.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 338117 - 2⁸ = 337861 is a prime.

It is a super-2 number, since 2×338117² = 228646211378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 338092 and 338101.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338117.

It is not an unprimeable number, because it can be changed into a prime (338119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2³³⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

338117 is a deficient number, since it is larger than the sum of its proper divisors (38203).

338117 is a wasteful number, since it uses less digits than its factorization.

338117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883.

The product of its digits is 504, while the sum is 23.

The square root of 338117 is about 581.4782885027. The cubic root of 338117 is about 69.6662342359. Note that the first 3 decimals are identical.

The spelling of 338117 in words is "three hundred thirty-eight thousand, one hundred seventeen".