4005219 has 16 divisors (see below), whose sum is σ = 5817600. Its totient is φ = 2441376.

The previous prime is 4005203. The next prime is 4005223. The reversal of 4005219 is 9125004.

4005219 = T₄₄₀ + T₄₄₁ + ... + T₄₇₇.

It is not a de Polignac number, because 4005219 - 2⁴ = 4005203 is a prime.

It is a super-2 number, since 2×4005219² = 32083558475922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4005195 and 4005204.

It is not an unprimeable number, because it can be changed into a prime (4005229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (363600).

Almost surely, 2^4005219 is an apocalyptic number.

4005219 is a deficient number, since it is larger than the sum of its proper divisors (1812381).

4005219 is a wasteful number, since it uses less digits than its factorization.

4005219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 4005219 is about 2001.3043246843. The cubic root of 4005219 is about 158.8091139099.

It can be divided in two parts, 4005 and 219, that added together give a palindrome (4224).

The spelling of 4005219 in words is "four million, five thousand, two hundred nineteen".