4001305 has 32 divisors (see below), whose sum is σ = 6312960. Its totient is φ = 2358720.

The previous prime is 4001303. The next prime is 4001339. The reversal of 4001305 is 5031004.

4001305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4001305 - 2¹ = 4001303 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4001303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7042 + ... + 7588.

It is an arithmetic number, because the mean of its divisors is an integer number (197280).

Almost surely, 2^4001305 is an apocalyptic number.

It is an amenable number.

4001305 is a deficient number, since it is larger than the sum of its proper divisors (2311655).

4001305 is a wasteful number, since it uses less digits than its factorization.

4001305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 4001305 is about 2000.3262233946. The cubic root of 4001305 is about 158.7573663063.

Adding to 4001305 its reverse (5031004), we get a palindrome (9032309).

The spelling of 4001305 in words is "four million, one thousand, three hundred five".