31338 has 12 divisors (see below), whose sum is σ = 67938. Its totient is φ = 10440.

The previous prime is 31337. The next prime is 31357. The reversal of 31338 is 83313.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 9 = 177^2 + 3^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1741 = 31338 / (3 + 1 + 3 + 3 + 8).

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 31338.

It is not an unprimeable number, because it can be changed into a prime (31333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 853 + ... + 888.

2³¹³³⁸ is an apocalyptic number.

31338 is an abundant number, since it is smaller than the sum of its proper divisors (36600).

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

31338 is a wasteful number, since it uses less digits than its factorization.

31338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1746 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31338 is about 177.0254219032. The cubic root of 31338 is about 31.5275646853.

It can be divided in two parts, 313 and 38, that added together give a triangular number (351 = T₂₆).

The spelling of 31338 in words is "thirty-one thousand, three hundred thirty-eight".