8142165 has 48 divisors (see below), whose sum is σ = 15163200. Its totient is φ = 4029696.

The previous prime is 8142157. The next prime is 8142221. The reversal of 8142165 is 5612418.

It is not a de Polignac number, because 8142165 - 2³ = 8142157 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76042 + ... + 76148.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 2^8142165 is an apocalyptic number.

It is an amenable number.

8142165 is a deficient number, since it is larger than the sum of its proper divisors (7021035).

8142165 is a wasteful number, since it uses less digits than its factorization.

8142165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8142165 is about 2853.4479143661. The cubic root of 8142165 is about 201.1777591363.

The spelling of 8142165 in words is "eight million, one hundred forty-two thousand, one hundred sixty-five".