68931 has 20 divisors (see below), whose sum is σ = 110352. Its totient is φ = 42768.

The previous prime is 68927. The next prime is 68947. The reversal of 68931 is 13986.

It is not a de Polignac number, because 68931 - 2² = 68927 is a prime.

It is a super-2 number, since 2×68931² = 9502965522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (1296) is a multiple of the sum of its prime factors (72).

68931 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 68895 and 68904.

It is not an unprimeable number, because it can be changed into a prime (68531) 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 in 19 ways as a sum of consecutive naturals, for example, 1845 + ... + 1881.

2⁶⁸⁹³¹ is an apocalyptic number.

68931 is a deficient number, since it is larger than the sum of its proper divisors (41421).

68931 is a wasteful number, since it uses less digits than its factorization.

68931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 68931 is about 262.5471386247. The cubic root of 68931 is about 41.0019828508.

Subtracting from 68931 its reverse (13986), we obtain a palindrome (54945).

It can be divided in two parts, 68 and 931, that added together give a palindrome (999).

The spelling of 68931 in words is "sixty-eight thousand, nine hundred thirty-one".