36165 has 8 divisors (see below), whose sum is σ = 57888. Its totient is φ = 19280.

The previous prime is 36161. The next prime is 36187. The reversal of 36165 is 56163.

36165 = T₈₀ + T₈₁ + ... + T₈₉.

36165 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36165 - 2² = 36161 is a prime.

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

36165 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36165.

It is not an unprimeable number, because it can be changed into a prime (36161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (7236).

2³⁶¹⁶⁵ is an apocalyptic number.

It is an amenable number.

36165 is a deficient number, since it is larger than the sum of its proper divisors (21723).

36165 is a wasteful number, since it uses less digits than its factorization.

36165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419.

The product of its digits is 540, while the sum is 21.

The square root of 36165 is about 190.1709757034. The cubic root of 36165 is about 33.0696417249.

The spelling of 36165 in words is "thirty-six thousand, one hundred sixty-five".