39366 has 20 divisors (see below), whose sum is σ = 88572. Its totient is φ = 13122.

The previous prime is 39359. The next prime is 39367. The reversal of 39366 is 66393.

39366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a nialpdrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39367) by changing a digit.

39366 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, 13121 + 13122 + 13123.

39366 is a Friedman number, since it can be written as (3-6/6)*3^9, using all its digits and the basic arithmetic operations.

2³⁹³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44286).

39366 is an abundant number, since it is smaller than the sum of its proper divisors (49206).

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

39366 is an frugal number, since it uses more digits than its factorization.

39366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 5 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 39366 is about 198.4086691654. The cubic root of 39366 is about 34.0178683472.

Adding to 39366 its sum of digits (27), we get a palindrome (39393).

Multiplying 39366 by its product of digits (2916), we get a cube (114791256 = 486³).

The spelling of 39366 in words is "thirty-nine thousand, three hundred sixty-six".