27730 has 16 divisors (see below), whose sum is σ = 51840. Its totient is φ = 10672.

The previous prime is 27701. The next prime is 27733. The reversal of 27730 is 3772.

27730 is a nontrivial binomial coefficient, being equal to C(236, 2).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 27698 and 27707.

It is not an unprimeable number, because it can be changed into a prime (27733) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 441 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2²⁷⁷³⁰ is an apocalyptic number.

27730 is the 235-th triangular number and also the 118-th hexagonal number.

27730 is the 79-th centered nonagonal number.

27730 is a deficient number, since it is larger than the sum of its proper divisors (24110).

27730 is a wasteful number, since it uses less digits than its factorization.

27730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 27730 is about 166.5232716469. The cubic root of 27730 is about 30.2679696524.

It can be divided in two parts, 27 and 730, that added together give a palindrome (757).

The spelling of 27730 in words is "twenty-seven thousand, seven hundred thirty".