11385765 has 24 divisors (see below), whose sum is σ = 20468448. Its totient is φ = 6071760.

The previous prime is 11385749. The next prime is 11385791. The reversal of 11385765 is 56758311.

It is not a de Polignac number, because 11385765 - 2⁴ = 11385749 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3471 + ... + 5900.

It is an arithmetic number, because the mean of its divisors is an integer number (852852).

Almost surely, 2^11385765 is an apocalyptic number.

11385765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11385765 is a deficient number, since it is larger than the sum of its proper divisors (9082683).

11385765 is an frugal number, since it uses more digits than its factorization.

11385765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9379 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 11385765 is about 3374.2799231836. The cubic root of 11385765 is about 224.9679954478.

It can be divided in two parts, 1138 and 5765, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 11385765 in words is "eleven million, three hundred eighty-five thousand, seven hundred sixty-five".