338397 has 4 divisors (see below), whose sum is σ = 451200. Its totient is φ = 225596.

The previous prime is 338389. The next prime is 338407. The reversal of 338397 is 793833.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 338397 - 2³ = 338389 is a prime.

It is a super-2 number, since 2×338397² = 229025059218, which contains 22 as substring.

It is a D-number.

338397 is a lucky number.

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 338397.

It is not an unprimeable number, because it can be changed into a prime (338347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56397 + ... + 56402.

It is an arithmetic number, because the mean of its divisors is an integer number (112800).

2³³⁸³⁹⁷ is an apocalyptic number.

It is an amenable number.

338397 is a deficient number, since it is larger than the sum of its proper divisors (112803).

338397 is a wasteful number, since it uses less digits than its factorization.

338397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112802.

The product of its digits is 13608, while the sum is 33.

The square root of 338397 is about 581.7190043311. The cubic root of 338397 is about 69.6854594977.

The spelling of 338397 in words is "three hundred thirty-eight thousand, three hundred ninety-seven".