338947 has 8 divisors (see below), whose sum is σ = 397152. Its totient is φ = 283200.

The previous prime is 338927. The next prime is 338959. The reversal of 338947 is 749833.

338947 is nontrivially palindromic in base 6.

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 338947 - 2¹¹ = 336899 is a prime.

It is a super-2 number, since 2×338947² = 229770137618, which contains 22 as substring.

338947 is a lucky number.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (338927) 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 in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 877.

It is an arithmetic number, because the mean of its divisors is an integer number (49644).

2³³⁸⁹⁴⁷ is an apocalyptic number.

338947 is a deficient number, since it is larger than the sum of its proper divisors (58205).

338947 is a wasteful number, since it uses less digits than its factorization.

338947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229.

The product of its digits is 18144, while the sum is 34.

The square root of 338947 is about 582.1915492344. The cubic root of 338947 is about 69.7231925519.

The spelling of 338947 in words is "three hundred thirty-eight thousand, nine hundred forty-seven".