31268 has 6 divisors (see below), whose sum is σ = 54726. Its totient is φ = 15632.

The previous prime is 31267. The next prime is 31271. The reversal of 31268 is 86213.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 14884 = 128^2 + 122^2 .

It is not an unprimeable number, because it can be changed into a prime (31267) 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, 3905 + ... + 3912.

It is an arithmetic number, because the mean of its divisors is an integer number (9121).

2³¹²⁶⁸ is an apocalyptic number.

It is an amenable number.

31268 is a deficient number, since it is larger than the sum of its proper divisors (23458).

31268 is a wasteful number, since it uses less digits than its factorization.

31268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7819 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 31268 is about 176.8275996557. The cubic root of 31268 is about 31.5040727076.

Subtracting 31268 from its reverse (86213), we obtain a palindrome (54945).

The spelling of 31268 in words is "thirty-one thousand, two hundred sixty-eight".