27534 has 16 divisors (see below), whose sum is σ = 59472. Its totient is φ = 8448.

The previous prime is 27529. The next prime is 27539. The reversal of 27534 is 43572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27529) and next prime (27539).

It is a self number, because there is not a number n which added to its sum of digits gives 27534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27539) by changing a digit.

27534 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 7 ways as a sum of consecutive naturals, for example, 99 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (3717).

2²⁷⁵³⁴ is an apocalyptic number.

27534 is an abundant number, since it is smaller than the sum of its proper divisors (31938).

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 (29736).

27534 is a wasteful number, since it uses less digits than its factorization.

27534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its digits is 840, while the sum is 21.

The square root of 27534 is about 165.9337217084. The cubic root of 27534 is about 30.1964880497.

It can be divided in two parts, 27 and 534, that added together give a triangular number (561 = T₃₃).

The spelling of 27534 in words is "twenty-seven thousand, five hundred thirty-four".