4004101 has 8 divisors (see below), whose sum is σ = 4171608. Its totient is φ = 3840000.

The previous prime is 4004089. The next prime is 4004137. The reversal of 4004101 is 1014004.

It can be written as a sum of positive squares in 4 ways, for example, as 123201 + 3880900 = 351^2 + 1970^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(4004101) divides (4004101-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 4004101 - 2⁵ = 4004069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1701 + ... + 3301.

It is an arithmetic number, because the mean of its divisors is an integer number (521451).

Almost surely, 2^4004101 is an apocalyptic number.

4004101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4004101 is a deficient number, since it is larger than the sum of its proper divisors (167507).

4004101 is a wasteful number, since it uses less digits than its factorization.

4004101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4004101 is about 2001.0249873502. The cubic root of 4004101 is about 158.7943360986.

Adding to 4004101 its reverse (1014004), we get a palindrome (5018105).

It can be divided in two parts, 4004 and 101, that multiplied together give a palindrome (404404).

The spelling of 4004101 in words is "four million, four thousand, one hundred one".