213766 has 8 divisors (see below), whose sum is σ = 366480. Its totient is φ = 91608.

The previous prime is 213751. The next prime is 213791. The reversal of 213766 is 667312.

213766 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7621 + ... + 7648.

It is an arithmetic number, because the mean of its divisors is an integer number (45810).

2²¹³⁷⁶⁶ is an apocalyptic number.

213766 is a deficient number, since it is larger than the sum of its proper divisors (152714).

213766 is a wasteful number, since it uses less digits than its factorization.

213766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278.

The product of its digits is 1512, while the sum is 25.

The square root of 213766 is about 462.3483535171. The cubic root of 213766 is about 59.7924308940.

It can be divided in two parts, 213 and 766, that added together give a palindrome (979).

The spelling of 213766 in words is "two hundred thirteen thousand, seven hundred sixty-six".