2712 has 16 divisors (see below), whose sum is σ = 6840. Its totient is φ = 896.

The previous prime is 2711. The next prime is 2713. The reversal of 2712 is 2172.

2712 is nontrivially palindromic in base 15.

2712 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2711) and next prime (2713).

It is a Harshad number since it is a multiple of its sum of digits (12).

2712 is an undulating number in base 15.

It is a nialpdrome in base 14 and base 16.

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 2712.

It is not an unprimeable number, because it can be changed into a prime (2711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 80.

It is an amenable number.

2712 is an abundant number, since it is smaller than the sum of its proper divisors (4128).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420).

2712 is a wasteful number, since it uses less digits than its factorization.

2712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its digits is 28, while the sum is 12.

The square root of 2712 is about 52.0768662652. The cubic root of 2712 is about 13.9453652979.

Adding to 2712 its reverse (2172), we get a palindrome (4884).

It can be divided in two parts, 27 and 12, that multiplied together give a square (324 = 18^{2}).

The spelling of 2712 in words is "two thousand, seven hundred twelve", and thus it is an iban number.

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