338007 has 8 divisors (see below), whose sum is σ = 453376. Its totient is φ = 223992.

The previous prime is 337999. The next prime is 338017. The reversal of 338007 is 700833.

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

It is not a de Polignac number, because 338007 - 2³ = 337999 is a prime.

It is a super-2 number, since 2×338007² = 228497464098, which contains 22 as substring.

It is a Duffinian number.

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 338007.

It is not an unprimeable number, because it can be changed into a prime (338017) 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, 738 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (56672).

2³³⁸⁰⁰⁷ is an apocalyptic number.

338007 is a deficient number, since it is larger than the sum of its proper divisors (115369).

338007 is a wasteful number, since it uses less digits than its factorization.

338007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 338007 is about 581.3836943018. The cubic root of 338007 is about 69.6586785506.

The spelling of 338007 in words is "three hundred thirty-eight thousand, seven".