86814 has 48 divisors (see below), whose sum is σ = 235872. Its totient is φ = 22464.

The previous prime is 86813. The next prime is 86837. The reversal of 86814 is 41868.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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 86814.

It is not an unprimeable number, because it can be changed into a prime (86813) 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, 1612 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁸⁶⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

86814 is an abundant number, since it is smaller than the sum of its proper divisors (149058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86814 is a wasteful number, since it uses less digits than its factorization.

86814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 78 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 86814 is about 294.6421558433. The cubic root of 86814 is about 44.2788761059.

It can be divided in two parts, 86 and 814, that added together give a square (900 = 30²).

The spelling of 86814 in words is "eighty-six thousand, eight hundred fourteen".