27830 has 24 divisors (see below), whose sum is σ = 57456. Its totient is φ = 9680.

The previous prime is 27827. The next prime is 27847. The reversal of 27830 is 3872.

27830 = T₁₀₃ + T₁₀₄ + ... + T₁₀₇.

27830 is nontrivially palindromic in base 8.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1199 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2²⁷⁸³⁰ is an apocalyptic number.

27830 is an abundant number, since it is smaller than the sum of its proper divisors (29626).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728).

27830 is a wasteful number, since it uses less digits than its factorization.

27830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 27830 is about 166.8232597691. The cubic root of 27830 is about 30.3043101480.

The spelling of 27830 in words is "twenty-seven thousand, eight hundred thirty".