205062 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 57120.

The previous prime is 205043. The next prime is 205063. The reversal of 205062 is 260502.

205062 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 205062.

It is not an unprimeable number, because it can be changed into a prime (205063) by changing a digit.

205062 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁰⁵⁰⁶² is an apocalyptic number.

205062 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

205062 is an abundant number, since it is smaller than the sum of its proper divisors (278778).

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

205062 is a wasteful number, since it uses less digits than its factorization.

205062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205062 is about 452.8377192770. The cubic root of 205062 is about 58.9696291070.

Adding to 205062 its reverse (260502), we get a palindrome (465564).

It can be divided in two parts, 2050 and 62, that added together give a palindrome (2112).

The spelling of 205062 in words is "two hundred five thousand, sixty-two".