205019 has 2 divisors, whose sum is σ = 205020. Its totient is φ = 205018.

The previous prime is 204983. The next prime is 205031. The reversal of 205019 is 910502.

205019 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205019 - 2¹⁶ = 139483 is a prime.

It is a super-2 number, since 2×205019² = 84065580722, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 204988 and 205006.

It is not a weakly prime, because it can be changed into another prime (205069) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102509 + 102510.

It is an arithmetic number, because the mean of its divisors is an integer number (102510).

2²⁰⁵⁰¹⁹ is an apocalyptic number.

205019 is a deficient number, since it is larger than the sum of its proper divisors (1).

205019 is an equidigital number, since it uses as much as digits as its factorization.

205019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 205019 is about 452.7902384107. The cubic root of 205019 is about 58.9655069857.

The spelling of 205019 in words is "two hundred five thousand, nineteen".