4072221 has 16 divisors (see below), whose sum is σ = 6163200. Its totient is φ = 2656224.

The previous prime is 4072207. The next prime is 4072223. The reversal of 4072221 is 1222704.

It is not a de Polignac number, because 4072221 - 2¹⁸ = 3810077 is a prime.

It is a super-3 number, since 3×4072221³ (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4072194 and 4072203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072223) 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, 336 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (385200).

Almost surely, 2^4072221 is an apocalyptic number.

It is an amenable number.

4072221 is a deficient number, since it is larger than the sum of its proper divisors (2090979).

4072221 is a wasteful number, since it uses less digits than its factorization.

4072221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4072221 is about 2017.9744795215. The cubic root of 4072221 is about 159.6897765015.

Adding to 4072221 its reverse (1222704), we get a palindrome (5294925).

It can be divided in two parts, 407 and 2221, that added together give a triangular number (2628 = T₇₂).

The spelling of 4072221 in words is "four million, seventy-two thousand, two hundred twenty-one".