30366 has 24 divisors (see below), whose sum is σ = 75504. Its totient is φ = 8640.

The previous prime is 30347. The next prime is 30367. The reversal of 30366 is 66303.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30366.

It is not an unprimeable number, because it can be changed into a prime (30367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (3146).

2³⁰³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37752).

30366 is an abundant number, since it is smaller than the sum of its proper divisors (45138).

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

30366 is a wasteful number, since it uses less digits than its factorization.

30366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30366 is about 174.2584287775. The cubic root of 30366 is about 31.1981754357.

Adding to 30366 its reverse (66303), we get a palindrome (96669).

Subtracting 30366 from its reverse (66303), we obtain a cube (35937 = 33³).

The spelling of 30366 in words is "thirty thousand, three hundred sixty-six".