89526 has 16 divisors (see below), whose sum is σ = 183744. Its totient is φ = 29064.

The previous prime is 89521. The next prime is 89527. The reversal of 89526 is 62598.

It is a plaindrome in base 8 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 89493 and 89502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89526.

It is not an unprimeable number, because it can be changed into a prime (89521) by changing a digit.

89526 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (11484).

2⁸⁹⁵²⁶ is an apocalyptic number.

89526 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

89526 is an abundant number, since it is smaller than the sum of its proper divisors (94218).

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 (91872).

89526 is a wasteful number, since it uses less digits than its factorization.

89526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

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

The square root of 89526 is about 299.2089570852. The cubic root of 89526 is about 44.7352353942.

The spelling of 89526 in words is "eighty-nine thousand, five hundred twenty-six".