213786 has 32 divisors (see below), whose sum is σ = 492480. Its totient is φ = 68688.

The previous prime is 213751. The next prime is 213791. The reversal of 213786 is 687312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2²¹³⁷⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

213786 is an abundant number, since it is smaller than the sum of its proper divisors (278694).

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

213786 is a wasteful number, since it uses less digits than its factorization.

213786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 213786 is about 462.3699817246. The cubic root of 213786 is about 59.7942955674.

It can be divided in two parts, 213 and 786, that added together give a palindrome (999).

The spelling of 213786 in words is "two hundred thirteen thousand, seven hundred eighty-six".