18525 has 24 divisors (see below), whose sum is σ = 34720. Its totient is φ = 8640.

The previous prime is 18523. The next prime is 18539. The reversal of 18525 is 52581.

18525 = T₂₄ + T₂₅ + ... + T₄₉.

18525 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 18525 - 2¹ = 18523 is a prime.

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

Its product of digits (400) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18521) 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 23 ways as a sum of consecutive naturals, for example, 966 + ... + 984.

2¹⁸⁵²⁵ is an apocalyptic number.

18525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18525 is a deficient number, since it is larger than the sum of its proper divisors (16195).

18525 is a wasteful number, since it uses less digits than its factorization.

18525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 40 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 18525 is about 136.1065758882. The cubic root of 18525 is about 26.4597704526.

It can be divided in two parts, 185 and 25, that added together give a triangular number (210 = T₂₀).

The spelling of 18525 in words is "eighteen thousand, five hundred twenty-five".