338993 has 2 divisors, whose sum is σ = 338994. Its totient is φ = 338992.

The previous prime is 338959. The next prime is 338999. The reversal of 338993 is 399833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204304 + 134689 = 452^2 + 367^2 .

It is a cyclic number.

It is not a de Polignac number, because 338993 - 2¹⁰ = 337969 is a prime.

It is a super-2 number, since 2×338993² = 229832508098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169496 + 169497.

It is an arithmetic number, because the mean of its divisors is an integer number (169497).

2³³⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

338993 is a deficient number, since it is larger than the sum of its proper divisors (1).

338993 is an equidigital number, since it uses as much as digits as its factorization.

338993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 35.

The square root of 338993 is about 582.2310537922. The cubic root of 338993 is about 69.7263465571.

It can be divided in two parts, 338 and 993, that added together give a palindrome (1331).

The spelling of 338993 in words is "three hundred thirty-eight thousand, nine hundred ninety-three".