4182165 has 32 divisors (see below), whose sum is σ = 8010240. Its totient is φ = 2058048.

The previous prime is 4182163. The next prime is 4182169. The reversal of 4182165 is 5612814.

It is not a de Polignac number, because 4182165 - 2¹ = 4182163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182163) 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 31 ways as a sum of consecutive naturals, for example, 564 + ... + 2946.

It is an arithmetic number, because the mean of its divisors is an integer number (250320).

Almost surely, 2^4182165 is an apocalyptic number.

4182165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4182165 is a deficient number, since it is larger than the sum of its proper divisors (3828075).

4182165 is a wasteful number, since it uses less digits than its factorization.

4182165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2404 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4182165 is about 2045.0342295424. The cubic root of 4182165 is about 161.1141635921.

Adding to 4182165 its reverse (5612814), we get a palindrome (9794979).

The spelling of 4182165 in words is "four million, one hundred eighty-two thousand, one hundred sixty-five".