252112 has 20 divisors (see below), whose sum is σ = 558496. Its totient is φ = 108000.

The previous prime is 252101. The next prime is 252139. The reversal of 252112 is 211252.

252112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 252092 and 252101.

It is a congruent number.

It is an unprimeable number.

252112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1014 + ... + 1237.

2²⁵²¹¹² is an apocalyptic number.

It is an amenable number.

252112 is an abundant number, since it is smaller than the sum of its proper divisors (306384).

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

252112 is a wasteful number, since it uses less digits than its factorization.

252112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2260 counting only the distinct ones).

The product of its digits is 40, while the sum is 13.

The square root of 252112 is about 502.1075581984. The cubic root of 252112 is about 63.1729521604.

Adding to 252112 its reverse (211252), we get a palindrome (463364).

It can be divided in two parts, 252 and 112, that multiplied together give a square (28224 = 168²).

The spelling of 252112 in words is "two hundred fifty-two thousand, one hundred twelve".