205722 has 24 divisors (see below), whose sum is σ = 486720. Its totient is φ = 62280.

The previous prime is 205721. The next prime is 205759. The reversal of 205722 is 227502.

It is a happy number.

205722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205695 and 205704.

It is not an unprimeable number, because it can be changed into a prime (205721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (20280).

2²⁰⁵⁷²² is an apocalyptic number.

205722 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205722 is an abundant number, since it is smaller than the sum of its proper divisors (280998).

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

205722 is a wasteful number, since it uses less digits than its factorization.

205722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205722 is about 453.5658717320. The cubic root of 205722 is about 59.0328267003.

It can be divided in two parts, 2057 and 22, that multiplied together give a palindrome (45254).

The spelling of 205722 in words is "two hundred five thousand, seven hundred twenty-two".