1138311 has 12 divisors (see below), whose sum is σ = 1666080. Its totient is φ = 748800.

The previous prime is 1138273. The next prime is 1138363.

It is a happy number.

1138311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1138311 - 2⁷ = 1138183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138391) 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 in 11 ways as a sum of consecutive naturals, for example, 90 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (138840).

2^1138311 is an apocalyptic number.

1138311 is a deficient number, since it is larger than the sum of its proper divisors (527769).

1138311 is a wasteful number, since it uses less digits than its factorization.

1138311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1683 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1138311 is about 1066.9165853055. The cubic root of 1138311 is about 104.4127764343.

The spelling of 1138311 in words is "one million, one hundred thirty-eight thousand, three hundred eleven".