338625 has 48 divisors (see below), whose sum is σ = 713856. Its totient is φ = 151200.

The previous prime is 338609. The next prime is 338659. The reversal of 338625 is 526833.

338625 is a `hidden beast` number, since 3 + 38 + 625 = 666.

It is not a de Polignac number, because 338625 - 2⁴ = 338609 is a prime.

It is a super-2 number, since 2×338625² = 229333781250, 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 338625.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7854 + ... + 7896.

It is an arithmetic number, because the mean of its divisors is an integer number (14872).

2³³⁸⁶²⁵ is an apocalyptic number.

338625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338625 is an abundant number, since it is smaller than the sum of its proper divisors (375231).

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

338625 is a wasteful number, since it uses less digits than its factorization.

338625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 338625 is about 581.9149422381. The cubic root of 338625 is about 69.7011065216.

The spelling of 338625 in words is "three hundred thirty-eight thousand, six hundred twenty-five".