3112 has 8 divisors (see below), whose sum is σ = 5850. Its totient is φ = 1552.

The previous prime is 3109. The next prime is 3119. The reversal of 3112 is 2113.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 196 = 54^2 + 14^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 6, base 11 and base 13.

It is a nialpdrome in base 5 and base 15.

It is a zygodrome in base 5.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3095 and 3104.

It is not an unprimeable number, because it can be changed into a prime (3119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 187 + ... + 202.

2^{3112} is an apocalyptic number.

It is an amenable number.

3112 is a deficient number, since it is larger than the sum of its proper divisors (2738).

3112 is a wasteful number, since it uses less digits than its factorization.

3112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 6, while the sum is 7.

The square root of 3112 is about 55.7853027239. The cubic root of 3112 is about 14.5997873241.

Adding to 3112 its reverse (2113), we get a palindrome (5225).

Subtracting from 3112 its reverse (2113), we obtain a palindrome (999).

It can be divided in two parts, 311 and 2, that added together give a palindrome (313).

The spelling of 3112 in words is "three thousand, one hundred twelve", and thus it is an iban number.

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