11338591 has 16 divisors (see below), whose sum is σ = 13095936. Its totient is φ = 9720000.

The previous prime is 11338589. The next prime is 11338601. The reversal of 11338591 is 19583311.

It is a 6-Lehmer number, since φ(11338591) divides (11338591-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 11338591 - 2¹ = 11338589 is a prime.

It is a super-4 number, since 4×11338591⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11338571) by changing a digit.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13576 + ... + 14386.

It is an arithmetic number, because the mean of its divisors is an integer number (818496).

Almost surely, 2^11338591 is an apocalyptic number.

11338591 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11338591 is a deficient number, since it is larger than the sum of its proper divisors (1757345).

11338591 is a wasteful number, since it uses less digits than its factorization.

11338591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894.

The product of its digits is 3240, while the sum is 31.

The square root of 11338591 is about 3367.2824354366. The cubic root of 11338591 is about 224.6568662742.

The spelling of 11338591 in words is "eleven million, three hundred thirty-eight thousand, five hundred ninety-one".