338593 has 4 divisors (see below), whose sum is σ = 339760. Its totient is φ = 337428.

The previous prime is 338581. The next prime is 338609. The reversal of 338593 is 395833.

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 a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 395833 = 277 ⋅1429.

It is a cyclic number.

It is not a de Polignac number, because 338593 - 2¹⁷ = 207521 is a prime.

It is a super-2 number, since 2×338593² = 229290439298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338543) 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, 238 + ... + 856.

It is an arithmetic number, because the mean of its divisors is an integer number (84940).

2³³⁸⁵⁹³ is an apocalyptic number.

It is an amenable number.

338593 is a deficient number, since it is larger than the sum of its proper divisors (1167).

338593 is an equidigital number, since it uses as much as digits as its factorization.

338593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166.

The product of its digits is 9720, while the sum is 31.

The square root of 338593 is about 581.8874461612. The cubic root of 338593 is about 69.6989108718.

The spelling of 338593 in words is "three hundred thirty-eight thousand, five hundred ninety-three".