253212 has 12 divisors (see below), whose sum is σ = 590856. Its totient is φ = 84400.

The previous prime is 253159. The next prime is 253229. The reversal of 253212 is 212352.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 253191 and 253200.

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 253212.

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 3 ways as a sum of consecutive naturals, for example, 10539 + ... + 10562.

It is an arithmetic number, because the mean of its divisors is an integer number (49238).

2²⁵³²¹² is an apocalyptic number.

It is an amenable number.

253212 is an abundant number, since it is smaller than the sum of its proper divisors (337644).

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

253212 is a wasteful number, since it uses less digits than its factorization.

253212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21108 (or 21106 counting only the distinct ones).

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

The square root of 253212 is about 503.2017488046. The cubic root of 253212 is about 63.2646963408.

Adding to 253212 its reverse (212352), we get a palindrome (465564).

It can be divided in two parts, 253 and 212, that added together give a triangular number (465 = T₃₀).

The spelling of 253212 in words is "two hundred fifty-three thousand, two hundred twelve".