338564 has 12 divisors (see below), whose sum is σ = 604044. Its totient is φ = 165984.

The previous prime is 338563. The next prime is 338567. The reversal of 338564 is 465833.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 184900 = 392^2 + 430^2 .

It is a super-2 number, since 2×338564² = 229251164192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338563) 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 3 ways as a sum of consecutive naturals, for example, 587 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (50337).

2³³⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

338564 is a deficient number, since it is larger than the sum of its proper divisors (265480).

338564 is a wasteful number, since it uses less digits than its factorization.

338564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1652 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 338564 is about 581.8625267192. The cubic root of 338564 is about 69.6969209448.

It can be divided in two parts, 33856 and 4, that multiplied together give a square (135424 = 368²).

The spelling of 338564 in words is "three hundred thirty-eight thousand, five hundred sixty-four".