338393 has 4 divisors (see below), whose sum is σ = 369168. Its totient is φ = 307620.

The previous prime is 338389. The next prime is 338407. The reversal of 338393 is 393833.

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, and also an emirpimes, since its reverse is a distinct semiprime: 393833 = 11 ⋅35803.

It is a cyclic number.

It is not a de Polignac number, because 338393 - 2² = 338389 is a prime.

It is a super-2 number, since 2×338393² = 229019644898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15371 + ... + 15392.

It is an arithmetic number, because the mean of its divisors is an integer number (92292).

2³³⁸³⁹³ is an apocalyptic number.

It is an amenable number.

338393 is a deficient number, since it is larger than the sum of its proper divisors (30775).

338393 is a wasteful number, since it uses less digits than its factorization.

338393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30774.

The product of its digits is 5832, while the sum is 29.

The square root of 338393 is about 581.7155662349. The cubic root of 338393 is about 69.6851849258.

The spelling of 338393 in words is "three hundred thirty-eight thousand, three hundred ninety-three".