1338331 has 2 divisors, whose sum is σ = 1338332. Its totient is φ = 1338330.

The previous prime is 1338319. The next prime is 1338343.

1338331 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (1338319) and next prime (1338343).

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1338331 - 2⁵ = 1338299 is a prime.

It is a super-2 number, since 2×1338331² = 3582259731122, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (1338361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 669165 + 669166.

It is an arithmetic number, because the mean of its divisors is an integer number (669166).

2^1338331 is an apocalyptic number.

1338331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1338331 is an equidigital number, since it uses as much as digits as its factorization.

1338331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

The square root of 1338331 is about 1156.8625674643. The cubic root of 1338331 is about 110.2015862697.

It can be divided in two parts, 133 and 8331, that added together give a square (8464 = 92²).

The spelling of 1338331 in words is "one million, three hundred thirty-eight thousand, three hundred thirty-one".