63112 has 32 divisors (see below), whose sum is σ = 144000. Its totient is φ = 25872.

The previous prime is 63103. The next prime is 63113. The reversal of 63112 is 21136.

63112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63092 and 63101.

It is not an unprimeable number, because it can be changed into a prime (63113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2733 + ... + 2755.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2⁶³¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72000).

63112 is an abundant number, since it is smaller than the sum of its proper divisors (80888).

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

63112 is a wasteful number, since it uses less digits than its factorization.

63112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 32 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 63112 is about 251.2210182290. The cubic root of 63112 is about 39.8141377179.

Adding to 63112 its reverse (21136), we get a palindrome (84248).

It can be divided in two parts, 63 and 112, that multiplied together give a square (7056 = 84²).

The spelling of 63112 in words is "sixty-three thousand, one hundred twelve".