213896 has 8 divisors (see below), whose sum is σ = 401070. Its totient is φ = 106944.

The previous prime is 213887. The next prime is 213901. The reversal of 213896 is 698312.

213896 is digitally balanced in base 3, 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., 168100 + 45796 = 410^2 + 214^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213896.

It is an unprimeable number.

213896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13361 + ... + 13376.

2²¹³⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

213896 is a deficient number, since it is larger than the sum of its proper divisors (187174).

213896 is a wasteful number, since it uses less digits than its factorization.

213896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743 (or 26739 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 213896 is about 462.4889187862. The cubic root of 213896 is about 59.8045491929.

Subtracting 213896 from its reverse (698312), we obtain a square (484416 = 696²).

The spelling of 213896 in words is "two hundred thirteen thousand, eight hundred ninety-six".