205953 has 12 divisors (see below), whose sum is σ = 303408. Its totient is φ = 123240.

The previous prime is 205951. The next prime is 205957. The reversal of 205953 is 359502.

205953 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 205953 - 2¹ = 205951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205951) 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, 2568 + ... + 2646.

It is an arithmetic number, because the mean of its divisors is an integer number (25284).

2²⁰⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

205953 is a deficient number, since it is larger than the sum of its proper divisors (97455).

205953 is an equidigital number, since it uses as much as digits as its factorization.

205953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 205953 is about 453.8204490765. The cubic root of 205953 is about 59.0549139217.

It can be divided in two parts, 2059 and 53, that added together give a palindrome (2112).

The spelling of 205953 in words is "two hundred five thousand, nine hundred fifty-three".