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BaseRepresentation
bin10001111111101
3110122020
42033331
5243323
6110353
735601
oct21775
913566
109213
116a16
1253b9
134269
143501
152ae3
hex23fd

9213 has 8 divisors (see below), whose sum is σ = 12768. Its totient is φ = 5904.

The previous prime is 9209. The next prime is 9221. The reversal of 9213 is 3129.

Subtracting from 9213 its reverse (3129), we obtain a square (6084 = 782).

It can be divided in two parts, 92 and 13, that added together give a triangular number (105 = T14).

9213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9213 - 22 = 9209 is a prime.

It is a Curzon number.

9213 is a lucky number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 9192 and 9201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

29213 is an apocalyptic number.

It is an amenable number.

9213 is a deficient number, since it is larger than the sum of its proper divisors (3555).

9213 is a wasteful number, since it uses less digits than its factorization.

9213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123.

The product of its digits is 54, while the sum is 15.

The square root of 9213 is about 95.9843737282. The cubic root of 9213 is about 20.9636559577.

The spelling of 9213 in words is "nine thousand, two hundred thirteen".

Divisors: 1 3 37 83 111 249 3071 9213