338307 has 8 divisors (see below), whose sum is σ = 470784. Its totient is φ = 215688.

The previous prime is 338297. The next prime is 338309. The reversal of 338307 is 703833.

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

It is not a de Polignac number, because 338307 - 2¹⁰ = 337283 is a prime.

It is a super-2 number, since 2×338307² = 228903252498, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338307.

It is not an unprimeable number, because it can be changed into a prime (338309) 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, 2383 + ... + 2520.

It is an arithmetic number, because the mean of its divisors is an integer number (58848).

2³³⁸³⁰⁷ is an apocalyptic number.

338307 is a deficient number, since it is larger than the sum of its proper divisors (132477).

338307 is a wasteful number, since it uses less digits than its factorization.

338307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 338307 is about 581.6416422506. The cubic root of 338307 is about 69.6792811062.

It can be divided in two parts, 3 and 38307, that multiplied together give a square (114921 = 339²).

The spelling of 338307 in words is "three hundred thirty-eight thousand, three hundred seven".