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12253 is a prime number
BaseRepresentation
bin10111111011101
3121210211
42333131
5343003
6132421
750503
oct27735
917724
1012253
11922a
127111
135767
144673
15396d
hex2fdd

12253 has 2 divisors, whose sum is σ = 12254. Its totient is φ = 12252.

The previous prime is 12251. The next prime is 12263. The reversal of 12253 is 35221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 1849 = 102^2 + 43^2 .

It is an emirp because it is prime and its reverse (35221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12253 - 21 = 12251 is a prime.

Together with 12251, it forms a pair of twin primes.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6126 + 6127.

It is an arithmetic number, because the mean of its divisors is an integer number (6127).

212253 is an apocalyptic number.

It is an amenable number.

12253 is a deficient number, since it is larger than the sum of its proper divisors (1).

12253 is an equidigital number, since it uses as much as digits as its factorization.

12253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60, while the sum is 13.

The square root of 12253 is about 110.6932698948. The cubic root of 12253 is about 23.0540631174.

Adding to 12253 its reverse (35221), we get a palindrome (47474).

The spelling of 12253 in words is "twelve thousand, two hundred fifty-three".