213829 has 8 divisors (see below), whose sum is σ = 266688. Its totient is φ = 166560.

The previous prime is 213827. The next prime is 213833. The reversal of 213829 is 928312.

213829 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

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

It is a cyclic number.

It is not a de Polignac number, because 213829 - 2¹ = 213827 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213821) 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, 1312 + ... + 1465.

It is an arithmetic number, because the mean of its divisors is an integer number (33336).

2²¹³⁸²⁹ is an apocalyptic number.

It is an amenable number.

213829 is a deficient number, since it is larger than the sum of its proper divisors (52859).

213829 is a wasteful number, since it uses less digits than its factorization.

213829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795.

The product of its digits is 864, while the sum is 25.

The square root of 213829 is about 462.4164789451. The cubic root of 213829 is about 59.7983042214.

It can be divided in two parts, 2 and 13829, that added together give a palindrome (13831).

The spelling of 213829 in words is "two hundred thirteen thousand, eight hundred twenty-nine".