4113765 has 24 divisors (see below), whose sum is σ = 7202520. Its totient is φ = 2171904.

The previous prime is 4113763. The next prime is 4113773. The reversal of 4113765 is 5673114.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 3932289 = 426^2 + 1983^2 .

It is not a de Polignac number, because 4113765 - 2¹ = 4113763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113761) 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 23 ways as a sum of consecutive naturals, for example, 4681 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (300105).

Almost surely, 2^4113765 is an apocalyptic number.

4113765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4113765 is a deficient number, since it is larger than the sum of its proper divisors (3088755).

4113765 is a wasteful number, since it uses less digits than its factorization.

4113765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 930 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 4113765 is about 2028.2418494844. The cubic root of 4113765 is about 160.2309814909.

Adding to 4113765 its reverse (5673114), we get a palindrome (9786879).

The spelling of 4113765 in words is "four million, one hundred thirteen thousand, seven hundred sixty-five".