205512 has 16 divisors (see below), whose sum is σ = 513840. Its totient is φ = 68496.

The previous prime is 205507. The next prime is 205519. The reversal of 205512 is 215502.

205512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×205512³ = 26039510258333184, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205491 and 205500.

It is not an unprimeable number, because it can be changed into a prime (205519) 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 in 3 ways as a sum of consecutive naturals, for example, 4258 + ... + 4305.

It is an arithmetic number, because the mean of its divisors is an integer number (32115).

2²⁰⁵⁵¹² is an apocalyptic number.

It is an amenable number.

205512 is an abundant number, since it is smaller than the sum of its proper divisors (308328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205512 is a wasteful number, since it uses less digits than its factorization.

205512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205512 is about 453.3343137244. The cubic root of 205512 is about 59.0127330557.

It can be divided in two parts, 205 and 512, that added together give a palindrome (717).

The spelling of 205512 in words is "two hundred five thousand, five hundred twelve".