31944 has 32 divisors (see below), whose sum is σ = 87840. Its totient is φ = 9680.

The previous prime is 31907. The next prime is 31957. The reversal of 31944 is 44913.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=22.

Its product of digits (432) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 8 and base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 31944.

It is an unprimeable number.

31944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2899 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (2745).

2^{31944} 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 31944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43920).

31944 is an abundant number, since it is smaller than the sum of its proper divisors (55896).

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

31944 is a wasteful number, since it uses less digits than its factorization.

31944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 16 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 31944 is about 178.7288449020. The cubic root of 31944 is about 31.7294905468.

It can be divided in two parts, 319 and 44, that added together give a palindrome (363).

The spelling of 31944 in words is "thirty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 31944

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