4221829 has 2 divisors, whose sum is σ = 4221830. Its totient is φ = 4221828.

The previous prime is 4221827. The next prime is 4221851. The reversal of 4221829 is 9281224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4060225 + 161604 = 2015^2 + 402^2 .

It is a cyclic number.

It is not a de Polignac number, because 4221829 - 2¹ = 4221827 is a prime.

Together with 4221827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 4221797 and 4221806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4221827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2110914 + 2110915.

It is an arithmetic number, because the mean of its divisors is an integer number (2110915).

Almost surely, 2^4221829 is an apocalyptic number.

It is an amenable number.

4221829 is a deficient number, since it is larger than the sum of its proper divisors (1).

4221829 is an equidigital number, since it uses as much as digits as its factorization.

4221829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The square root of 4221829 is about 2054.7089818269. The cubic root of 4221829 is about 161.6219018488.

It can be divided in two parts, 4221 and 829, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 4221829 in words is "four million, two hundred twenty-one thousand, eight hundred twenty-nine".