5112 has 24 divisors (see below), whose sum is σ = 14040. Its totient is φ = 1680.

The previous prime is 5107. The next prime is 5113. The reversal of 5112 is 2115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×5112^{2} = 52265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 5094 and 5103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

2^{5112} is an apocalyptic number.

It is a pronic number, being equal to 71×72.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020).

5112 is an abundant number, since it is smaller than the sum of its proper divisors (8928).

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

5112 is a wasteful number, since it uses less digits than its factorization.

5112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its digits is 10, while the sum is 9.

The square root of 5112 is about 71.4982517269. The cubic root of 5112 is about 17.2264960296.

Adding to 5112 its reverse (2115), we get a palindrome (7227).

The spelling of 5112 in words is "five thousand, one hundred twelve".

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