85527 has 24 divisors (see below), whose sum is σ = 144144. Its totient is φ = 48384.

The previous prime is 85523. The next prime is 85531. The reversal of 85527 is 72558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85523) and next prime (85531).

It is not a de Polignac number, because 85527 - 2² = 85523 is a prime.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 85527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2⁸⁵⁵²⁷ is an apocalyptic number.

85527 is a deficient number, since it is larger than the sum of its proper divisors (58617).

85527 is a wasteful number, since it uses less digits than its factorization.

85527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 76 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 85527 is about 292.4499957258. The cubic root of 85527 is about 44.0589773855.

The spelling of 85527 in words is "eighty-five thousand, five hundred twenty-seven".