213846 has 16 divisors (see below), whose sum is σ = 442800. Its totient is φ = 68768.

The previous prime is 213833. The next prime is 213847. The reversal of 213846 is 648312.

It is a happy number.

213846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213846² = 91460223432, which contains 22 as substring.

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 213846.

It is not an unprimeable number, because it can be changed into a prime (213847) by changing a digit.

213846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (27675).

2²¹³⁸⁴⁶ is an apocalyptic number.

213846 is an abundant number, since it is smaller than the sum of its proper divisors (228954).

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

213846 is a wasteful number, since it uses less digits than its factorization.

213846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263.

The product of its digits is 1152, while the sum is 24.

The square root of 213846 is about 462.4348602776. The cubic root of 213846 is about 59.7998888899.

The spelling of 213846 in words is "two hundred thirteen thousand, eight hundred forty-six".