31888 has 10 divisors (see below), whose sum is σ = 61814. Its totient is φ = 15936.

The previous prime is 31883. The next prime is 31891. The reversal of 31888 is 88813.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 2304 = 172^2 + 48^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (31883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 981 + ... + 1012.

2³¹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

31888 is a deficient number, since it is larger than the sum of its proper divisors (29926).

31888 is a wasteful number, since it uses less digits than its factorization.

31888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1995 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 31888 is about 178.5721142844. The cubic root of 31888 is about 31.7109383847.

It can be divided in two parts, 318 and 88, that added together give a triangular number (406 = T₂₈).

The spelling of 31888 in words is "thirty-one thousand, eight hundred eighty-eight".