338581 has 2 divisors, whose sum is σ = 338582. Its totient is φ = 338580.

The previous prime is 338579. The next prime is 338609. The reversal of 338581 is 185833.

It is an a-pointer prime, because the next prime (338609) can be obtained adding 338581 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 320356 + 18225 = 566^2 + 135^2 .

It is an emirp because it is prime and its reverse (185833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338581 - 2¹ = 338579 is a prime.

It is a super-2 number, since 2×338581² = 229274187122, which contains 22 as substring.

Together with 338579, it forms a pair of twin primes.

It is equal to p₂₉₀₈₉ and since 338581 and 29089 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169290 + 169291.

It is an arithmetic number, because the mean of its divisors is an integer number (169291).

2³³⁸⁵⁸¹ is an apocalyptic number.

It is an amenable number.

338581 is a deficient number, since it is larger than the sum of its proper divisors (1).

338581 is an equidigital number, since it uses as much as digits as its factorization.

338581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 338581 is about 581.8771347974. The cubic root of 338581 is about 69.6980874675.

It can be divided in two parts, 338 and 581, that added together give a palindrome (919).

The spelling of 338581 in words is "three hundred thirty-eight thousand, five hundred eighty-one".