253205 has 8 divisors (see below), whose sum is σ = 307800. Its totient is φ = 199936.

The previous prime is 253159. The next prime is 253229. The reversal of 253205 is 502352.

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 253009 = 14^2 + 503^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253205 - 2⁸ = 252949 is a prime.

It is a super-2 number, since 2×253205² = 128225544050, which contains 22 as substring.

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 253205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2²⁵³²⁰⁵ is an apocalyptic number.

It is an amenable number.

253205 is a deficient number, since it is larger than the sum of its proper divisors (54595).

253205 is an equidigital number, since it uses as much as digits as its factorization.

253205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 253205 is about 503.1947932958. The cubic root of 253205 is about 63.2641133550.

Adding to 253205 its reverse (502352), we get a palindrome (755557).

The spelling of 253205 in words is "two hundred fifty-three thousand, two hundred five".