205219 has 8 divisors (see below), whose sum is σ = 247040. Its totient is φ = 166536.

The previous prime is 205213. The next prime is 205223. The reversal of 205219 is 912502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205219 - 2³ = 205211 is a prime.

It is a super-2 number, since 2×205219² = 84229675922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205196 and 205205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (30880).

2²⁰⁵²¹⁹ is an apocalyptic number.

205219 is a deficient number, since it is larger than the sum of its proper divisors (41821).

205219 is a wasteful number, since it uses less digits than its factorization.

205219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 205219 is about 453.0110373931. The cubic root of 205219 is about 58.9846747518.

205219 divided by its sum of digits (19) gives a palindrome (10801).

It can be divided in two parts, 205 and 219, that added together give a palindrome (424).

The spelling of 205219 in words is "two hundred five thousand, two hundred nineteen".