338968 has 16 divisors (see below), whose sum is σ = 726480. Its totient is φ = 145248.

The previous prime is 338959. The next prime is 338993. The reversal of 338968 is 869833.

It is a happy number.

It is a super-2 number, since 2×338968² = 229798610048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2971 + ... + 3082.

It is an arithmetic number, because the mean of its divisors is an integer number (45405).

2³³⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

338968 is an abundant number, since it is smaller than the sum of its proper divisors (387512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338968 is a wasteful number, since it uses less digits than its factorization.

338968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6062 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 338968 is about 582.2095842564. The cubic root of 338968 is about 69.7246324593.

It can be divided in two parts, 338 and 968, that multiplied together give a square (327184 = 572²).

The spelling of 338968 in words is "three hundred thirty-eight thousand, nine hundred sixty-eight".