338325 has 24 divisors (see below), whose sum is σ = 604128. Its totient is φ = 166080.

The previous prime is 338323. The next prime is 338339. The reversal of 338325 is 523833.

It is not a de Polignac number, because 338325 - 2¹ = 338323 is a prime.

It is a super-2 number, since 2×338325² = 228927611250, which contains 22 as substring.

338325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 338295 and 338304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338325.

It is not an unprimeable number, because it can be changed into a prime (338321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (25172).

2³³⁸³²⁵ is an apocalyptic number.

It is an amenable number.

338325 is a deficient number, since it is larger than the sum of its proper divisors (265803).

338325 is a wasteful number, since it uses less digits than its factorization.

338325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 368 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 338325 is about 581.6571154899. The cubic root of 338325 is about 69.6805168722.

The spelling of 338325 in words is "three hundred thirty-eight thousand, three hundred twenty-five".