213876 has 36 divisors (see below), whose sum is σ = 583492. Its totient is φ = 65664.

The previous prime is 213859. The next prime is 213881. The reversal of 213876 is 678312.

213876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 104976 = 330^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 213876.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240 + ... + 696.

2²¹³⁸⁷⁶ is an apocalyptic number.

213876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291746).

213876 is an abundant number, since it is smaller than the sum of its proper divisors (369616).

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

213876 is a wasteful number, since it uses less digits than its factorization.

213876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

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

The square root of 213876 is about 462.4672961410. The cubic root of 213876 is about 59.8026851589.

It can be divided in two parts, 213 and 876, that added together give a square (1089 = 33²).

The spelling of 213876 in words is "two hundred thirteen thousand, eight hundred seventy-six".