213836 has 18 divisors (see below), whose sum is σ = 435708. Its totient is φ = 91560.

The previous prime is 213833. The next prime is 213847. The reversal of 213836 is 638312.

It is a super-3 number, since 3×213836³ = 29333488892463168, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213836.

It is not an unprimeable number, because it can be changed into a prime (213833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 350 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2²¹³⁸³⁶ is an apocalyptic number.

It is an amenable number.

213836 is an abundant number, since it is smaller than the sum of its proper divisors (221872).

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

213836 is a wasteful number, since it uses less digits than its factorization.

213836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 213836 is about 462.4240478176. The cubic root of 213836 is about 59.7989567422.

It can be divided in two parts, 2 and 13836, that multiplied together give a palindrome (27672).

The spelling of 213836 in words is "two hundred thirteen thousand, eight hundred thirty-six".