86562 has 32 divisors (see below), whose sum is σ = 220800. Its totient is φ = 24624.

The previous prime is 86561. The next prime is 86573. The reversal of 86562 is 26568.

86562 is a `hidden beast` number, since 8 + 656 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (6900).

2⁸⁶⁵⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110400).

86562 is an abundant number, since it is smaller than the sum of its proper divisors (134238).

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

86562 is a wasteful number, since it uses less digits than its factorization.

86562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 86562 is about 294.2142076787. The cubic root of 86562 is about 44.2359909690.

The spelling of 86562 in words is "eighty-six thousand, five hundred sixty-two".