4164001 has 4 divisors (see below), whose sum is σ = 4265604. Its totient is φ = 4062400.

The previous prime is 4163987. The next prime is 4164007. The reversal of 4164001 is 1004614.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 4004001 = 400^2 + 2001^2 .

It is a cyclic number.

It is not a de Polignac number, because 4164001 - 2¹¹ = 4161953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4164007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50740 + ... + 50821.

It is an arithmetic number, because the mean of its divisors is an integer number (1066401).

Almost surely, 2^4164001 is an apocalyptic number.

4164001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4164001 is a deficient number, since it is larger than the sum of its proper divisors (101603).

4164001 is a wasteful number, since it uses less digits than its factorization.

4164001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101602.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4164001 is about 2040.5883955369. The cubic root of 4164001 is about 160.8805744755.

Adding to 4164001 its reverse (1004614), we get a palindrome (5168615).

The spelling of 4164001 in words is "four million, one hundred sixty-four thousand, one".