30186 has 32 divisors (see below), whose sum is σ = 73920. Its totient is φ = 9072.

The previous prime is 30181. The next prime is 30187. The reversal of 30186 is 68103.

It is a super-2 number, since 2×30186² = 1822389192, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30181) by changing a digit.

30186 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, 681 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

2³⁰¹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960).

30186 is an abundant number, since it is smaller than the sum of its proper divisors (43734).

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

30186 is a wasteful number, since it uses less digits than its factorization.

30186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30186 is about 173.7411868268. The cubic root of 30186 is about 31.1364089399.

Adding to 30186 its reverse (68103), we get a palindrome (98289).

It can be divided in two parts, 30 and 186, that added together give a cube (216 = 6³).

The spelling of 30186 in words is "thirty thousand, one hundred eighty-six".