205364 has 6 divisors (see below), whose sum is σ = 359394. Its totient is φ = 102680.

The previous prime is 205357. The next prime is 205391. The reversal of 205364 is 463502.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 10000 = 442^2 + 100^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205364.

It is an unprimeable number.

205364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 25667 + ... + 25674.

It is an arithmetic number, because the mean of its divisors is an integer number (59899).

2²⁰⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

205364 is a deficient number, since it is larger than the sum of its proper divisors (154030).

205364 is a wasteful number, since it uses less digits than its factorization.

205364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51345 (or 51343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 205364 is about 453.1710493842. The cubic root of 205364 is about 58.9985635962.

Adding to 205364 its reverse (463502), we get a palindrome (668866).

The spelling of 205364 in words is "two hundred five thousand, three hundred sixty-four".