205369 has 4 divisors (see below), whose sum is σ = 210420. Its totient is φ = 200320.

The previous prime is 205357. The next prime is 205391. The reversal of 205369 is 963502.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 963502 = 2 ⋅481751.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 160000 = 213^2 + 400^2 .

It is a cyclic number.

It is not a de Polignac number, because 205369 - 2⁹ = 204857 is a prime.

It is a super-2 number, since 2×205369² = 84352852322, which contains 22 as substring.

It is a Duffinian number.

205369 is a modest number, since divided by 369 gives 205 as remainder.

205369 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (205319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2464 + ... + 2545.

It is an arithmetic number, because the mean of its divisors is an integer number (52605).

2²⁰⁵³⁶⁹ is an apocalyptic number.

It is an amenable number.

205369 is a deficient number, since it is larger than the sum of its proper divisors (5051).

205369 is an equidigital number, since it uses as much as digits as its factorization.

205369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 205369 is about 453.1765660314. The cubic root of 205369 is about 58.9990424052. Note that the first 3 decimals are identical.

The spelling of 205369 in words is "two hundred five thousand, three hundred sixty-nine".