27525 has 12 divisors (see below), whose sum is σ = 45632. Its totient is φ = 14640.

The previous prime is 27509. The next prime is 27527. The reversal of 27525 is 52572.

It is not a de Polignac number, because 27525 - 2⁴ = 27509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109 + ... + 258.

2²⁷⁵²⁵ is an apocalyptic number.

27525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27525 is a deficient number, since it is larger than the sum of its proper divisors (18107).

27525 is a wasteful number, since it uses less digits than its factorization.

27525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its digits is 700, while the sum is 21.

The square root of 27525 is about 165.9066002304. The cubic root of 27525 is about 30.1931975966.

It can be divided in two parts, 275 and 25, that added together give a triangular number (300 = T₂₄).

The spelling of 27525 in words is "twenty-seven thousand, five hundred twenty-five".