42165 has 12 divisors (see below), whose sum is σ = 73164. Its totient is φ = 22464.

The previous prime is 42157. The next prime is 42169. The reversal of 42165 is 56124.

It is a happy number.

42165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7569 + 34596 = 87^2 + 186^2 .

It is not a de Polignac number, because 42165 - 2³ = 42157 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42169) 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, 424 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (6097).

2⁴²¹⁶⁵ is an apocalyptic number.

42165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42165 is a deficient number, since it is larger than the sum of its proper divisors (30999).

42165 is a wasteful number, since it uses less digits than its factorization.

42165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 42165 is about 205.3411795038. The cubic root of 42165 is about 34.8057263664.

Adding to 42165 its reverse (56124), we get a palindrome (98289).

The spelling of 42165 in words is "forty-two thousand, one hundred sixty-five".