8145 has 12 divisors (see below), whose sum is σ = 14196. Its totient is φ = 4320.

The previous prime is 8123. The next prime is 8147. The reversal of 8145 is 5418.

It can be written as a sum of positive squares in 2 ways, for example, as 1089 + 7056 = 33^2 + 84^2 .

It is not a de Polignac number, because 8145 - 2⁶ = 8081 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (1183).

2⁸¹⁴⁵ is an apocalyptic number.

It is an amenable number.

8145 is a deficient number, since it is larger than the sum of its proper divisors (6051).

8145 is a wasteful number, since it uses less digits than its factorization.

8145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 8145 is about 90.2496537389. The cubic root of 8145 is about 20.1201105620.

It can be divided in two parts, 8 and 145, that added together give a triangular number (153 = T₁₇).

The spelling of 8145 in words is "eight thousand, one hundred forty-five".