2217829 has 2 divisors, whose sum is σ = 2217830. Its totient is φ = 2217828.

The previous prime is 2217799. The next prime is 2217857. The reversal of 2217829 is 9287122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1404225 + 813604 = 1185^2 + 902^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217829 - 2⁹ = 2217317 is a prime.

It is equal to p₁₆₃₈₈₅ and since 2217829 and 163885 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2217829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2217029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1108914 + 1108915.

It is an arithmetic number, because the mean of its divisors is an integer number (1108915).

2^2217829 is an apocalyptic number.

It is an amenable number.

2217829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217829 is an equidigital number, since it uses as much as digits as its factorization.

2217829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 31.

The square root of 2217829 is about 1489.2377244752. The cubic root of 2217829 is about 130.4095368902.

The spelling of 2217829 in words is "two million, two hundred seventeen thousand, eight hundred twenty-nine".