86529 has 4 divisors (see below), whose sum is σ = 115376. Its totient is φ = 57684.

The previous prime is 86509. The next prime is 86531. The reversal of 86529 is 92568.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 86529 - 2⁹ = 86017 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86496 and 86505.

It is not an unprimeable number, because it can be changed into a prime (86509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14419 + ... + 14424.

It is an arithmetic number, because the mean of its divisors is an integer number (28844).

It is a Proth number, since it is equal to 169 ⋅ 2⁹ + 1 and 169 < 2⁹.

2⁸⁶⁵²⁹ is an apocalyptic number.

It is an amenable number.

86529 is a deficient number, since it is larger than the sum of its proper divisors (28847).

86529 is a wasteful number, since it uses less digits than its factorization.

86529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28846.

The product of its digits is 4320, while the sum is 30.

The square root of 86529 is about 294.1581207446. The cubic root of 86529 is about 44.2303688975.

The spelling of 86529 in words is "eighty-six thousand, five hundred twenty-nine".