4165038 has 48 divisors (see below), whose sum is σ = 9547200. Its totient is φ = 1310400.

The previous prime is 4165037. The next prime is 4165039. The reversal of 4165038 is 8305614.

4165038 is a `hidden beast` number, since 4 + 1 + 650 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4165037) and next prime (4165039).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41188 + ... + 41288.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^4165038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

4165038 is an abundant number, since it is smaller than the sum of its proper divisors (5382162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4165038 is a wasteful number, since it uses less digits than its factorization.

4165038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4165038 is about 2040.8424730978. The cubic root of 4165038 is about 160.8939285636.

The spelling of 4165038 in words is "four million, one hundred sixty-five thousand, thirty-eight".