68031 has 6 divisors (see below), whose sum is σ = 98280. Its totient is φ = 45348.

The previous prime is 68023. The next prime is 68041. The reversal of 68031 is 13086.

It is not a de Polignac number, because 68031 - 2³ = 68023 is a prime.

It is a super-2 number, since 2×68031² = 9256433922, which contains 22 as substring.

68031 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 67995 and 68013.

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 68031.

It is not an unprimeable number, because it can be changed into a prime (68041) 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, 3771 + ... + 3788.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁶⁸⁰³¹ is an apocalyptic number.

68031 is a deficient number, since it is larger than the sum of its proper divisors (30249).

68031 is a wasteful number, since it uses less digits than its factorization.

68031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7562 counting only the distinct ones).

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

The square root of 68031 is about 260.8275292219. The cubic root of 68031 is about 40.8227525920.

Subtracting from 68031 its reverse (13086), we obtain a palindrome (54945).

The spelling of 68031 in words is "sixty-eight thousand, thirty-one".