338958 has 16 divisors (see below), whose sum is σ = 753360. Its totient is φ = 112968.

The previous prime is 338927. The next prime is 338959. The reversal of 338958 is 859833.

It is a super-2 number, since 2×338958² = 229785051528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338959) 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, 3085 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (47085).

2³³⁸⁹⁵⁸ is an apocalyptic number.

338958 is an abundant number, since it is smaller than the sum of its proper divisors (414402).

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

338958 is a wasteful number, since it uses less digits than its factorization.

338958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288 (or 6282 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 338958 is about 582.2009962204. The cubic root of 338958 is about 69.7239467965.

It can be divided in two parts, 338 and 958, that added together give a 4-th power (1296 = 6⁴).

The spelling of 338958 in words is "three hundred thirty-eight thousand, nine hundred fifty-eight".