7161 has 16 divisors (see below), whose sum is σ = 12288. Its totient is φ = 3600.

The previous prime is 7159. The next prime is 7177. The reversal of 7161 is 1617.

Added to its reverse (1617) it gives a triangular number (8778 = T₁₃₂).

7161 is nontrivially palindromic in base 4.

7161 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 7161 - 2¹ = 7159 is a prime.

7161 is an undulating number in base 5.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 7161.

It is not an unprimeable number, because it can be changed into a prime (7121) 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, 216 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (768).

2⁷¹⁶¹ is an apocalyptic number.

It is an amenable number.

7161 is a deficient number, since it is larger than the sum of its proper divisors (5127).

7161 is a wasteful number, since it uses less digits than its factorization.

7161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52.

The product of its digits is 42, while the sum is 15.

The square root of 7161 is about 84.6226919922. The cubic root of 7161 is about 19.2748596570.

Adding to 7161 its reverse (1617), we get a palindrome (8778).

It can be divided in two parts, 716 and 1, that added together give a palindrome (717).

The spelling of 7161 in words is "seven thousand, one hundred sixty-one".