31948 has 18 divisors (see below), whose sum is σ = 65436. Its totient is φ = 13608.

The previous prime is 31907. The next prime is 31957. The reversal of 31948 is 84913.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is an unprimeable number.

31948 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 5 ways as a sum of consecutive naturals, for example, 115 + ... + 277.

2³¹⁹⁴⁸ 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 31948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32718).

31948 is an abundant number, since it is smaller than the sum of its proper divisors (33488).

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

31948 is a wasteful number, since it uses less digits than its factorization.

31948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 31948 is about 178.7400346873. The cubic root of 31948 is about 31.7308148713.

It can be divided in two parts, 3194 and 8, that multiplied together give a palindrome (25552).

The spelling of 31948 in words is "thirty-one thousand, nine hundred forty-eight".