213849 has 6 divisors (see below), whose sum is σ = 308906. Its totient is φ = 142560.

The previous prime is 213847. The next prime is 213859. The reversal of 213849 is 948312.

213849 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 only one way, i.e., 186624 + 27225 = 432^2 + 165^2 .

It is not a de Polignac number, because 213849 - 2¹ = 213847 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213849.

It is not an unprimeable number, because it can be changed into a prime (213847) 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, 11872 + ... + 11889.

2²¹³⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

213849 is a deficient number, since it is larger than the sum of its proper divisors (95057).

213849 is a wasteful number, since it uses less digits than its factorization.

213849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23767 (or 23764 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 213849 is about 462.4381039664. The cubic root of 213849 is about 59.8001685286.

It can be divided in two parts, 2138 and 49, that added together give a 7-th power (2187 = 3⁷).

The spelling of 213849 in words is "two hundred thirteen thousand, eight hundred forty-nine".