4004333221 has 16 divisors (see below), whose sum is σ = 4937013504. Its totient is φ = 3169430784.

The previous prime is 4004333219. The next prime is 4004333273. The reversal of 4004333221 is 1223334004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4004333221 - 2¹ = 4004333219 is a prime.

It is a super-4 number, since 4×4004333221⁴ (a number of 40 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004333192 and 4004333201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004333821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311145 + ... + 323758.

It is an arithmetic number, because the mean of its divisors is an integer number (308563344).

Almost surely, 2^4004333221 is an apocalyptic number.

It is an amenable number.

4004333221 is a deficient number, since it is larger than the sum of its proper divisors (932680283).

4004333221 is a wasteful number, since it uses less digits than its factorization.

4004333221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634980.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4004333221 is about 63279.8010505722. The cubic root of 4004333221 is about 1587.9740584022.

Adding to 4004333221 its reverse (1223334004), we get a palindrome (5227667225).

The spelling of 4004333221 in words is "four billion, four million, three hundred thirty-three thousand, two hundred twenty-one".