4115761 has 12 divisors (see below), whose sum is σ = 4683252. Its totient is φ = 3595104.

The previous prime is 4115753. The next prime is 4115773. The reversal of 4115761 is 1675114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2030625 + 2085136 = 1425^2 + 1444^2 .

It is not a de Polignac number, because 4115761 - 2³ = 4115753 is a prime.

It is a super-4 number, since 4×4115761⁴ (a number of 28 digits) contains 4444 as substring.

It is a Duffinian number.

4115761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115701) 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 11 ways as a sum of consecutive naturals, for example, 4255 + ... + 5131.

It is an arithmetic number, because the mean of its divisors is an integer number (390271).

Almost surely, 2^4115761 is an apocalyptic number.

It is an amenable number.

4115761 is a deficient number, since it is larger than the sum of its proper divisors (567491).

4115761 is a wasteful number, since it uses less digits than its factorization.

4115761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 909 counting only the distinct ones).

The product of its digits is 840, while the sum is 25.

The square root of 4115761 is about 2028.7338415869. The cubic root of 4115761 is about 160.2568920074.

The spelling of 4115761 in words is "four million, one hundred fifteen thousand, seven hundred sixty-one".