5312 has 14 divisors (see below), whose sum is σ = 10668. Its totient is φ = 2624.

The previous prime is 5309. The next prime is 5323. The reversal of 5312 is 2135.

Adding to 5312 its reverse (2135), we get a palindrome (7447).

It can be divided in two parts, 53 and 12, that multiplied together give a palindrome (636).

It is a plaindrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 5293 and 5302.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 5312.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (762).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334).

5312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

5312 is an equidigital number, since it uses as much as digits as its factorization.

5312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its digits is 30, while the sum is 11.

The square root of 5312 is about 72.8834686332. The cubic root of 5312 is about 17.4482826858.

The spelling of 5312 in words is "five thousand, three hundred twelve".

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