338766 has 16 divisors (see below), whose sum is σ = 684288. Its totient is φ = 111800.

The previous prime is 338761. The next prime is 338773. The reversal of 338766 is 667833.

It is a happy number.

It is a super-2 number, since 2×338766² = 229524805512, which contains 22 as substring.

Its product of digits (18144) is a multiple of the sum of its prime divisors (567).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338761) 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, 571 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (42768).

2³³⁸⁷⁶⁶ is an apocalyptic number.

338766 is an abundant number, since it is smaller than the sum of its proper divisors (345522).

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

338766 is a wasteful number, since it uses less digits than its factorization.

338766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567.

The product of its digits is 18144, while the sum is 33.

The square root of 338766 is about 582.0360813558. The cubic root of 338766 is about 69.7107794560.

The spelling of 338766 in words is "three hundred thirty-eight thousand, seven hundred sixty-six".