36666 has 32 divisors (see below), whose sum is σ = 94080. Its totient is φ = 10368.

The previous prime is 36653. The next prime is 36671. The reversal of 36666 is 66663.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

36666 is a modest number, since divided by 666 gives 36 as remainder.

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is an unprimeable number.

36666 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 15 ways as a sum of consecutive naturals, for example, 330 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2³⁶⁶⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

36666 is an abundant number, since it is smaller than the sum of its proper divisors (57414).

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

36666 is a wasteful number, since it uses less digits than its factorization.

36666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 36666 is about 191.4836807668. The cubic root of 36666 is about 33.2216484347.

The spelling of 36666 in words is "thirty-six thousand, six hundred sixty-six".