4006305 has 24 divisors (see below), whose sum is σ = 7354152. Its totient is φ = 2010624.

The previous prime is 4006273. The next prime is 4006307. The reversal of 4006305 is 5036004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1535121 + 2471184 = 1239^2 + 1572^2 .

It is not a de Polignac number, because 4006305 - 2⁵ = 4006273 is a prime.

4006305 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006307) 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, 1854 + ... + 3383.

It is an arithmetic number, because the mean of its divisors is an integer number (306423).

Almost surely, 2^4006305 is an apocalyptic number.

4006305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4006305 is a deficient number, since it is larger than the sum of its proper divisors (3347847).

4006305 is a wasteful number, since it uses less digits than its factorization.

4006305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4006305 is about 2001.5756293480. The cubic root of 4006305 is about 158.8234661099.

The spelling of 4006305 in words is "four million, six thousand, three hundred five".