31848 has 16 divisors (see below), whose sum is σ = 79680. Its totient is φ = 10608.

The previous prime is 31847. The next prime is 31849. The reversal of 31848 is 84813.

31848 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (31847) and next prime (31849).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1327 = 31848 / (3 + 1 + 8 + 4 + 8).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31848.

It is not an unprimeable number, because it can be changed into a prime (31847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (4980).

2³¹⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

31848 is an abundant number, since it is smaller than the sum of its proper divisors (47832).

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 (39840).

31848 is a wasteful number, since it uses less digits than its factorization.

31848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1332 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 31848 is about 178.4600795696. The cubic root of 31848 is about 31.6976735382.

The spelling of 31848 in words is "thirty-one thousand, eight hundred forty-eight".