338724 has 27 divisors (see below), whose sum is σ = 865137. Its totient is φ = 111744.

The previous prime is 338717. The next prime is 338731. The reversal of 338724 is 427833.

The square root of 338724 is 582.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (338717) and next prime (338731).

It can be written as a sum of positive squares in only one way, i.e., 152100 + 186624 = 390^2 + 432^2 .

It is a super-2 number, since 2×338724² = 229467896352, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338724.

It is an unprimeable number.

338724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3444 + ... + 3540.

338724 is a Friedman number, since it can be written as (84*7-3-3)^2, using all its digits and the basic arithmetic operations.

2³³⁸⁷²⁴ is an apocalyptic number.

338724 is the 582-nd square number.

It is an amenable number.

338724 is an abundant number, since it is smaller than the sum of its proper divisors (526413).

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

338724 is a wasteful number, since it uses less digits than its factorization.

338724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The cubic root of 338724 is about 69.7078984371.

The spelling of 338724 in words is "three hundred thirty-eight thousand, seven hundred twenty-four".