27150 has 24 divisors (see below), whose sum is σ = 67704. Its totient is φ = 7200.

The previous prime is 27143. The next prime is 27179. The reversal of 27150 is 5172.

It is a happy number.

27150 is digitally balanced in base 6, 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 (15).

27150 is strictly pandigital in base 6.

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 27150.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2²⁷¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852).

27150 is an abundant number, since it is smaller than the sum of its proper divisors (40554).

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

27150 is a wasteful number, since it uses less digits than its factorization.

27150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 27150 is about 164.7725705328. The cubic root of 27150 is about 30.0554529913.

The spelling of 27150 in words is "twenty-seven thousand, one hundred fifty".