213985 has 4 divisors (see below), whose sum is σ = 256788. Its totient is φ = 171184.

The previous prime is 213977. The next prime is 213989. The reversal of 213985 is 589312.

213985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 59536 = 393^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 213985 - 2³ = 213977 is a prime.

It is a super-3 number, since 3×213985³ = 29394849973339875, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21394 + ... + 21403.

It is an arithmetic number, because the mean of its divisors is an integer number (64197).

2²¹³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

213985 is a deficient number, since it is larger than the sum of its proper divisors (42803).

213985 is an equidigital number, since it uses as much as digits as its factorization.

213985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42802.

The product of its digits is 2160, while the sum is 28.

The square root of 213985 is about 462.5851273009. The cubic root of 213985 is about 59.8128427356.

The spelling of 213985 in words is "two hundred thirteen thousand, nine hundred eighty-five".