36162 has 36 divisors (see below), whose sum is σ = 93366. Its totient is φ = 10080.

The previous prime is 36161. The next prime is 36187. The reversal of 36162 is 26163.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 441 = 189^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

36162 is a modest number, since divided by 162 gives 36 as remainder.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36162.

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 862 + ... + 902.

2³⁶¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683).

36162 is an abundant number, since it is smaller than the sum of its proper divisors (57204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36162 is a wasteful number, since it uses less digits than its factorization.

36162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 36162 is about 190.1630879009. The cubic root of 36162 is about 33.0687272895.

Subtracting from 36162 its reverse (26163), we obtain a palindrome (9999).

It can be divided in two parts, 36 and 162, that multiplied together give a cube (5832 = 18³).

The spelling of 36162 in words is "thirty-six thousand, one hundred sixty-two".