305219 has 2 divisors, whose sum is σ = 305220. Its totient is φ = 305218.

The previous prime is 305209. The next prime is 305231. The reversal of 305219 is 912503.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 305219 - 2¹² = 301123 is a prime.

It is a super-2 number, since 2×305219² = 186317275922, which contains 22 as substring.

It is a Sophie Germain prime.

It is equal to p₂₆₄₂₆ and since 305219 and 26426 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 305219.

It is not a weakly prime, because it can be changed into another prime (305209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152609 + 152610.

It is an arithmetic number, because the mean of its divisors is an integer number (152610).

2³⁰⁵²¹⁹ is an apocalyptic number.

305219 is a deficient number, since it is larger than the sum of its proper divisors (1).

305219 is an equidigital number, since it uses as much as digits as its factorization.

305219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 305219 is about 552.4662885643. The cubic root of 305219 is about 67.3292621355.

It can be divided in two parts, 305 and 219, that multiplied together give a triangular number (66795 = T₃₆₅).

The spelling of 305219 in words is "three hundred five thousand, two hundred nineteen".