7191 has 12 divisors (see below), whose sum is σ = 11232. Its totient is φ = 4416.

The previous prime is 7187. The next prime is 7193. The reversal of 7191 is 1917.

It is not a de Polignac number, because 7191 - 2² = 7187 is a prime.

7191 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7193) 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 11 ways as a sum of consecutive naturals, for example, 130 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2⁷¹⁹¹ is an apocalyptic number.

7191 is a deficient number, since it is larger than the sum of its proper divisors (4041).

7191 is a wasteful number, since it uses less digits than its factorization.

7191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 67 counting only the distinct ones).

The product of its digits is 63, while the sum is 18.

The square root of 7191 is about 84.7997641506. The cubic root of 7191 is about 19.3017385925.

The spelling of 7191 in words is "seven thousand, one hundred ninety-one".