7182 has 32 divisors (see below), whose sum is σ = 19200. Its totient is φ = 1944.

The previous prime is 7177. The next prime is 7187. The reversal of 7182 is 2817.

7182 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (7177) and next prime (7187).

It is a super-2 number, since 2×7182² = 103162248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

It is a practical number, because each smaller number is the sum of distinct divisors of 7182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600).

7182 is an abundant number, since it is smaller than the sum of its proper divisors (12018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7182 is a wasteful number, since it uses less digits than its factorization.

7182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 31 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 7182 is about 84.7466813510. The cubic root of 7182 is about 19.2936827741.

Adding to 7182 its reverse (2817), we get a palindrome (9999).

It can be divided in two parts, 71 and 82, that added together give a triangular number (153 = T₁₇).

The spelling of 7182 in words is "seven thousand, one hundred eighty-two".