36006 has 16 divisors (see below), whose sum is σ = 76464. Its totient is φ = 11264.

The previous prime is 35999. The next prime is 36007. The reversal of 36006 is 60063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36007) 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, 75 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (4779).

2³⁶⁰⁰⁶ is an apocalyptic number.

36006 is an abundant number, since it is smaller than the sum of its proper divisors (40458).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38232).

36006 is a wasteful number, since it uses less digits than its factorization.

36006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 36006 is about 189.7524703397. The cubic root of 36006 is about 33.0211067911.

Adding to 36006 its reverse (60063), we get a palindrome (96069).

The spelling of 36006 in words is "thirty-six thousand, six", and thus it is an eban number.