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12413 is a prime number
BaseRepresentation
bin11000001111101
3122000202
43001331
5344123
6133245
751122
oct30175
918022
1012413
119365
127225
13585b
144749
153a28
hex307d

12413 has 2 divisors, whose sum is σ = 12414. Its totient is φ = 12412.

The previous prime is 12409. The next prime is 12421. The reversal of 12413 is 31421.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 2809 = 98^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 12413 - 22 = 12409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12394 and 12403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6206 + 6207.

It is an arithmetic number, because the mean of its divisors is an integer number (6207).

212413 is an apocalyptic number.

It is an amenable number.

12413 is a deficient number, since it is larger than the sum of its proper divisors (1).

12413 is an equidigital number, since it uses as much as digits as its factorization.

12413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24, while the sum is 11.

The square root of 12413 is about 111.4136436887. The cubic root of 12413 is about 23.1539763379.

Adding to 12413 its reverse (31421), we get a palindrome (43834).

The spelling of 12413 in words is "twelve thousand, four hundred thirteen".