31112 has 8 divisors (see below), whose sum is σ = 58350. Its totient is φ = 15552.

The previous prime is 31091. The next prime is 31121. The reversal of 31112 is 21113.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 7396 = 154^2 + 86^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a Harshad number since it is a multiple of its sum of digits (8), and also a Moran number because the ratio is a prime number: 3889 = 31112 / (3 + 1 + 1 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 31112.

It is an unprimeable number.

31112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1937 + ... + 1952.

2³¹¹¹² is an apocalyptic number.

It is an amenable number.

31112 is a deficient number, since it is larger than the sum of its proper divisors (27238).

31112 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 31112 = (11213)₁₃.

31112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3891 counting only the distinct ones).

The product of its digits is 6, while the sum is 8.

The square root of 31112 is about 176.3859404828. The cubic root of 31112 is about 31.4515927354.

Adding to 31112 its reverse (21113), we get a palindrome (52225).

Subtracting from 31112 its reverse (21113), we obtain a palindrome (9999).

It can be divided in two parts, 3111 and 2, that added together give a palindrome (3113).

The spelling of 31112 in words is "thirty-one thousand, one hundred twelve".