4144005 has 24 divisors (see below), whose sum is σ = 7606872. Its totient is φ = 2079744.

The previous prime is 4144001. The next prime is 4144031. The reversal of 4144005 is 5004414.

It can be written as a sum of positive squares in 4 ways, for example, as 199809 + 3944196 = 447^2 + 1986^2 .

It is not a de Polignac number, because 4144005 - 2² = 4144001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144001) 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, 1944 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (316953).

Almost surely, 2^4144005 is an apocalyptic number.

4144005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4144005 is a deficient number, since it is larger than the sum of its proper divisors (3462867).

4144005 is a wasteful number, since it uses less digits than its factorization.

4144005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4144005 is about 2035.6829320894. The cubic root of 4144005 is about 160.6226389656.

Adding to 4144005 its reverse (5004414), we get a palindrome (9148419).

The spelling of 4144005 in words is "four million, one hundred forty-four thousand, five".