4115965 has 16 divisors (see below), whose sum is σ = 5891328. Its totient is φ = 2699136.

The previous prime is 4115957. The next prime is 4115971. The reversal of 4115965 is 5695114.

It is a cyclic number.

It is not a de Polignac number, because 4115965 - 2³ = 4115957 is a prime.

It is a Duffinian number.

4115965 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752 + ... + 3361.

It is an arithmetic number, because the mean of its divisors is an integer number (368208).

Almost surely, 2^4115965 is an apocalyptic number.

It is an amenable number.

4115965 is a deficient number, since it is larger than the sum of its proper divisors (1775363).

4115965 is a wasteful number, since it uses less digits than its factorization.

4115965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148.

The product of its digits is 5400, while the sum is 31.

The square root of 4115965 is about 2028.7841186287. The cubic root of 4115965 is about 160.2595397045.

The spelling of 4115965 in words is "four million, one hundred fifteen thousand, nine hundred sixty-five".