4165641 has 32 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 2620800.

The previous prime is 4165633. The next prime is 4165643. The reversal of 4165641 is 1465614.

4165641 is a `hidden beast` number, since 4 + 1 + 656 + 4 + 1 = 666.

It is not a de Polignac number, because 4165641 - 2³ = 4165633 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 (4165643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58636 + ... + 58706.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^4165641 is an apocalyptic number.

4165641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4165641 is a deficient number, since it is larger than the sum of its proper divisors (2366199).

4165641 is a wasteful number, since it uses less digits than its factorization.

4165641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

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

The square root of 4165641 is about 2040.9902008584. The cubic root of 4165641 is about 160.9016927470.

Subtracting from 4165641 its sum of digits (27), we obtain a palindrome (4165614).

The spelling of 4165641 in words is "four million, one hundred sixty-five thousand, six hundred forty-one".