338525 has 12 divisors (see below), whose sum is σ = 458304. Its totient is φ = 246000.

The previous prime is 338497. The next prime is 338531. The reversal of 338525 is 525833.

It is not a de Polignac number, because 338525 - 2⁶ = 338461 is a prime.

It is a super-2 number, since 2×338525² = 229198351250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338494 and 338503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (38192).

338525 is a Friedman number, since it can be written as (8+5)^5-32^3, using all its digits and the basic arithmetic operations.

2³³⁸⁵²⁵ is an apocalyptic number.

It is an amenable number.

338525 is a deficient number, since it is larger than the sum of its proper divisors (119779).

338525 is a wasteful number, since it uses less digits than its factorization.

338525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 338525 is about 581.8290126833. The cubic root of 338525 is about 69.6942446568.

It can be divided in two parts, 33 and 8525, that added together give a palindrome (8558).

The spelling of 338525 in words is "three hundred thirty-eight thousand, five hundred twenty-five".