36612 has 30 divisors (see below), whose sum is σ = 96558. Its totient is φ = 12096.

The previous prime is 36607. The next prime is 36629. The reversal of 36612 is 21663.

It is a happy number.

36612 is a `hidden beast` number, since 3 + 661 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 15876 = 144^2 + 126^2 .

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.

36612 is an undulating number in base 15.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36612.

It is an unprimeable number.

36612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 268 + ... + 380.

2³⁶⁶¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48279).

36612 is an abundant number, since it is smaller than the sum of its proper divisors (59946).

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

36612 is a wasteful number, since it uses less digits than its factorization.

36612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

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

The square root of 36612 is about 191.3426246292. The cubic root of 36612 is about 33.2053313159.

It can be divided in two parts, 3661 and 2, that added together give a palindrome (3663).

The spelling of 36612 in words is "thirty-six thousand, six hundred twelve".