36117 has 6 divisors (see below), whose sum is σ = 52182. Its totient is φ = 24072.

The previous prime is 36109. The next prime is 36131. The reversal of 36117 is 71163.

36117 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 1521 = 186^2 + 39^2 .

It is not a de Polignac number, because 36117 - 2³ = 36109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36107) 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 5 ways as a sum of consecutive naturals, for example, 1998 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (8697).

2³⁶¹¹⁷ is an apocalyptic number.

It is an amenable number.

36117 is a deficient number, since it is larger than the sum of its proper divisors (16065).

36117 is a wasteful number, since it uses less digits than its factorization.

36117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4016 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 36117 is about 190.0447315765. The cubic root of 36117 is about 33.0550046855.

It can be divided in two parts, 361 and 17, that added together give a triangular number (378 = T₂₇).

The spelling of 36117 in words is "thirty-six thousand, one hundred seventeen".