27258 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 6960.

The previous prime is 27253. The next prime is 27259. The reversal of 27258 is 85272.

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 not an unprimeable number, because it can be changed into a prime (27253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2²⁷²⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

27258 is an abundant number, since it is smaller than the sum of its proper divisors (41862).

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

27258 is a wasteful number, since it uses less digits than its factorization.

27258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 1120, while the sum is 24.

The square root of 27258 is about 165.0999697153. The cubic root of 27258 is about 30.0952527989.

It can be divided in two parts, 2 and 7258, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 27258 in words is "twenty-seven thousand, two hundred fifty-eight".