338893 has 2 divisors, whose sum is σ = 338894. Its totient is φ = 338892.

The previous prime is 338867. The next prime is 338909. The reversal of 338893 is 398833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338724 + 169 = 582^2 + 13^2 .

It is an emirp because it is prime and its reverse (398833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338893 - 2¹⁷ = 207821 is a prime.

It is a super-2 number, since 2×338893² = 229696930898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338803) 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 as a sum of consecutive naturals, namely, 169446 + 169447.

It is an arithmetic number, because the mean of its divisors is an integer number (169447).

2³³⁸⁸⁹³ is an apocalyptic number.

It is an amenable number.

338893 is a deficient number, since it is larger than the sum of its proper divisors (1).

338893 is an equidigital number, since it uses as much as digits as its factorization.

338893 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 34.

The square root of 338893 is about 582.1451708981. The cubic root of 338893 is about 69.7194896600.

It can be divided in two parts, 3388 and 93, that added together give a square (3481 = 59²).

The spelling of 338893 in words is "three hundred thirty-eight thousand, eight hundred ninety-three".