31068 has 18 divisors (see below), whose sum is σ = 78624. Its totient is φ = 10344.

The previous prime is 31063. The next prime is 31069. The reversal of 31068 is 86013.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 31068.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31068.

It is not an unprimeable number, because it can be changed into a prime (31063) 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, 396 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2³¹⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

31068 is an abundant number, since it is smaller than the sum of its proper divisors (47556).

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

31068 is a wasteful number, since it uses less digits than its factorization.

31068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31068 is about 176.2611698588. The cubic root of 31068 is about 31.4367589845.

Subtracting 31068 from its reverse (86013), we obtain a palindrome (54945).

It can be divided in two parts, 310 and 68, that added together give a triangular number (378 = T₂₇).

The spelling of 31068 in words is "thirty-one thousand, sixty-eight".