213834 has 16 divisors (see below), whose sum is σ = 432288. Its totient is φ = 70512.

The previous prime is 213833. The next prime is 213847. The reversal of 213834 is 438312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213834.

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 7 ways as a sum of consecutive naturals, for example, 829 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (27018).

2²¹³⁸³⁴ is an apocalyptic number.

213834 is an abundant number, since it is smaller than the sum of its proper divisors (218454).

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

213834 is a wasteful number, since it uses less digits than its factorization.

213834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389.

The product of its digits is 576, while the sum is 21.

The square root of 213834 is about 462.4218852952. The cubic root of 213834 is about 59.7987703091.

The spelling of 213834 in words is "two hundred thirteen thousand, eight hundred thirty-four".