4165965 has 16 divisors (see below), whose sum is σ = 7406400. Its totient is φ = 2221776.

The previous prime is 4165963. The next prime is 4165979. The reversal of 4165965 is 5695614.

It is not a de Polignac number, because 4165965 - 2¹ = 4165963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165961) 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 15 ways as a sum of consecutive naturals, for example, 15295 + ... + 15564.

It is an arithmetic number, because the mean of its divisors is an integer number (462900).

Almost surely, 2^4165965 is an apocalyptic number.

4165965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4165965 is a deficient number, since it is larger than the sum of its proper divisors (3240435).

4165965 is a wasteful number, since it uses less digits than its factorization.

4165965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30873 (or 30867 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 4165965 is about 2041.0695725526. The cubic root of 4165965 is about 160.9058642376.

The spelling of 4165965 in words is "four million, one hundred sixty-five thousand, nine hundred sixty-five".