213285 has 16 divisors (see below), whose sum is σ = 348480. Its totient is φ = 111360.

The previous prime is 213281. The next prime is 213287. The reversal of 213285 is 582312.

It is not a de Polignac number, because 213285 - 2² = 213281 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 1 + 2¹⁴ + 3¹¹ + 8⁴ + 5⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213281) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (21780).

213285 is a Friedman number, since it can be written as 82*51^2+3, using all its digits and the basic arithmetic operations.

2²¹³²⁸⁵ is an apocalyptic number.

It is an amenable number.

213285 is a deficient number, since it is larger than the sum of its proper divisors (135195).

213285 is a wasteful number, since it uses less digits than its factorization.

213285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its digits is 480, while the sum is 21.

The square root of 213285 is about 461.8278900196. The cubic root of 213285 is about 59.7475504210.

Adding to 213285 its reverse (582312), we get a palindrome (795597).

The spelling of 213285 in words is "two hundred thirteen thousand, two hundred eighty-five".