338964 has 24 divisors (see below), whose sum is σ = 809088. Its totient is φ = 110400.

The previous prime is 338959. The next prime is 338993. The reversal of 338964 is 469833.

338964 = T₁₈₅ + T₁₈₆ + ... + T₂₀₂.

It is a super-2 number, since 2×338964² = 229793186592, 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 7 ways as a sum of consecutive naturals, for example, 264 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (33712).

2³³⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

338964 is an abundant number, since it is smaller than the sum of its proper divisors (470124).

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

338964 is a wasteful number, since it uses less digits than its factorization.

338964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 338964 is about 582.2061490572. The cubic root of 338964 is about 69.7243581958.

The spelling of 338964 in words is "three hundred thirty-eight thousand, nine hundred sixty-four".