Search a number
-
+
3213 = 33717
BaseRepresentation
bin110010001101
311102000
4302031
5100323
622513
712240
oct6215
94360
103213
112461
121a39
131602
141257
15e43
hexc8d

3213 has 16 divisors (see below), whose sum is σ = 5760. Its totient is φ = 1728.

The previous prime is 3209. The next prime is 3217. The reversal of 3213 is 3123.

Adding to 3213 its reverse (3123), we get a palindrome (6336).

It can be divided in two parts, 321 and 3, that added together give a square (324 = 182).

It is a happy number.

3213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3209) and next prime (3217).

It is not a de Polignac number, because 3213 - 22 = 3209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

3213 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3195 and 3204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

23213 is an apocalyptic number.

It is an amenable number.

3213 is a deficient number, since it is larger than the sum of its proper divisors (2547).

3213 is a wasteful number, since it uses less digits than its factorization.

3213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 27 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The square root of 3213 is about 56.6833308831. The cubic root of 3213 is about 14.7560542034.

The spelling of 3213 in words is "three thousand, two hundred thirteen".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213