688111 has 2 divisors, whose sum is σ = 688112. Its totient is φ = 688110.

The previous prime is 688097. The next prime is 688133. The reversal of 688111 is 111886.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 688111 - 2¹³ = 679919 is a prime.

It is equal to p₅₅₆₇₂ and since 688111 and 55672 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344055 + 344056.

It is an arithmetic number, because the mean of its divisors is an integer number (344056).

2⁶⁸⁸¹¹¹ is an apocalyptic number.

688111 is a deficient number, since it is larger than the sum of its proper divisors (1).

688111 is an equidigital number, since it uses as much as digits as its factorization.

688111 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 25.

The square root of 688111 is about 829.5245626261. The cubic root of 688111 is about 88.2848466152.

Adding to 688111 its reverse (111886), we get a palindrome (799997).

The spelling of 688111 in words is "six hundred eighty-eight thousand, one hundred eleven".