8170 has 16 divisors (see below), whose sum is σ = 15840. Its totient is φ = 3024.

The previous prime is 8167. The next prime is 8171. The reversal of 8170 is 718.

8170 = T₁₈ + T₁₉ + ... + T₃₇.

8170 = 11² + 12² + ... + 29².

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

2⁸¹⁷⁰ is an apocalyptic number.

8170 is a deficient number, since it is larger than the sum of its proper divisors (7670).

8170 is a wasteful number, since it uses less digits than its factorization.

8170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 8170 is about 90.3880523078. The cubic root of 8170 is about 20.1406748757.

Adding to 8170 its reverse (718), we get a palindrome (8888).

It can be divided in two parts, 81 and 70, that added together give a palindrome (151).

The spelling of 8170 in words is "eight thousand, one hundred seventy".