205396 has 6 divisors (see below), whose sum is σ = 359450. Its totient is φ = 102696.

The previous prime is 205391. The next prime is 205397. The reversal of 205396 is 693502.

205396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 72900 = 364^2 + 270^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205391) 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, 25671 + ... + 25678.

2²⁰⁵³⁹⁶ is an apocalyptic number.

It is an amenable number.

205396 is a deficient number, since it is larger than the sum of its proper divisors (154054).

205396 is a wasteful number, since it uses less digits than its factorization.

205396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51353 (or 51351 counting only the distinct ones).

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

The square root of 205396 is about 453.2063547657. The cubic root of 205396 is about 59.0016278398.

Adding to 205396 its reverse (693502), we get a palindrome (898898).

The spelling of 205396 in words is "two hundred five thousand, three hundred ninety-six".