11349765 has 48 divisors (see below), whose sum is σ = 22733568. Its totient is φ = 5131008.

The previous prime is 11349763. The next prime is 11349769. The reversal of 11349765 is 56794311.

11349765 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11349765 - 2¹ = 11349763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11349763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43024 + ... + 43286.

It is an arithmetic number, because the mean of its divisors is an integer number (473616).

Almost surely, 2^11349765 is an apocalyptic number.

11349765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11349765 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

11349765 is a wasteful number, since it uses less digits than its factorization.

11349765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 11349765 is about 3368.9412283387. The cubic root of 11349765 is about 224.7306406273.

The spelling of 11349765 in words is "eleven million, three hundred forty-nine thousand, seven hundred sixty-five".