10385765 has 16 divisors (see below), whose sum is σ = 14007168. Its totient is φ = 7334976.

The previous prime is 10385743. The next prime is 10385773. The reversal of 10385765 is 56758301.

It is not a de Polignac number, because 10385765 - 2¹⁰ = 10384741 is a prime.

It is a super-2 number, since 2×10385765² = 215728229270450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1979 + ... + 4968.

It is an arithmetic number, because the mean of its divisors is an integer number (875448).

Almost surely, 2^10385765 is an apocalyptic number.

It is an amenable number.

10385765 is a deficient number, since it is larger than the sum of its proper divisors (3621403).

10385765 is a wasteful number, since it uses less digits than its factorization.

10385765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 10385765 is about 3222.6953005210. The cubic root of 10385765 is about 218.1789415393.

It can be divided in two parts, 1038 and 5765, that multiplied together give a triangular number (5984070 = T₃₄₅₉).

The spelling of 10385765 in words is "ten million, three hundred eighty-five thousand, seven hundred sixty-five".