86538 has 8 divisors (see below), whose sum is σ = 173088. Its totient is φ = 28844.

The previous prime is 86533. The next prime is 86539. The reversal of 86538 is 83568.

It is a sphenic number, since it is the product of 3 distinct primes.

86538 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (86531) by changing a digit.

86538 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7206 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (21636).

2^{86538} is an apocalyptic number.

86538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (86544).

86538 is a wasteful number, since it uses less digits than its factorization.

86538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14428.

The product of its digits is 5760, while the sum is 30.

The square root of 86538 is about 294.1734182417. The cubic root of 86538 is about 44.2319023315.

Adding to 86538 its sum of digits (30), we get a palindrome (86568).

It can be divided in two parts, 865 and 38, that added together give a triangular number (903 = T_{42}).

The spelling of 86538 in words is "eighty-six thousand, five hundred thirty-eight".

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