253206 has 24 divisors (see below), whose sum is σ = 570024. Its totient is φ = 84240.

The previous prime is 253159. The next prime is 253229. The reversal of 253206 is 602352.

It is a super-2 number, since 2×253206² = 128226556872, which contains 22 as substring.

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

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 253206.

It is an unprimeable number.

253206 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 226 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (23751).

2²⁵³²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285012).

253206 is an abundant number, since it is smaller than the sum of its proper divisors (316818).

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

253206 is an equidigital number, since it uses as much as digits as its factorization.

253206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 253206 is about 503.1957869458. The cubic root of 253206 is about 63.2641966394.

Adding to 253206 its reverse (602352), we get a palindrome (855558).

The spelling of 253206 in words is "two hundred fifty-three thousand, two hundred six".