31648 has 24 divisors (see below), whose sum is σ = 66528. Its totient is φ = 14784.

The previous prime is 31643. The next prime is 31649. The reversal of 31648 is 84613.

31648 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31643) 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, 715 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2³¹⁶⁴⁸ 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 31648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264).

31648 is an abundant number, since it is smaller than the sum of its proper divisors (34880).

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

31648 is a wasteful number, since it uses less digits than its factorization.

31648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 31648 is about 177.8988476635. The cubic root of 31648 is about 31.6311821667.

Subtracting from 31648 its sum of digits (22), we obtain a triangular number (31626 = T₂₅₁).

The spelling of 31648 in words is "thirty-one thousand, six hundred forty-eight".