6111 has 12 divisors (see below), whose sum is σ = 10192. Its totient is φ = 3456.

The previous prime is 6101. The next prime is 6113. The reversal of 6111 is 1116.

6111 = 14² + 15² + ... + 27².

It is not a de Polignac number, because 6111 - 2⁵ = 6079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

6111 is a modest number, since divided by 111 gives 6 as remainder.

6111 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6093 and 6102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 111.

2⁶¹¹¹ is an apocalyptic number.

6111 is a deficient number, since it is larger than the sum of its proper divisors (4081).

6111 is a wasteful number, since it uses less digits than its factorization.

6111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 6111 is about 78.1728853248. The cubic root of 6111 is about 18.2825777033.

Adding to 6111 its reverse (1116), we get a palindrome (7227).

It can be divided in two parts, 6 and 111, that multiplied together give a palindrome (666).

The spelling of 6111 in words is "six thousand, one hundred eleven".