Search a number
-
+
12587213 is a prime number
BaseRepresentation
bin110000000001…
…000011001101
3212200111102002
4300001003031
511210242323
61125442045
7211663262
oct60010315
925614362
1012587213
117117a61
124270325
1327b9372
141959269
151189828
hexc010cd

12587213 has 2 divisors, whose sum is σ = 12587214. Its totient is φ = 12587212.

The previous prime is 12587203. The next prime is 12587219. The reversal of 12587213 is 31278521.

12587213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7912969 + 4674244 = 2813^2 + 2162^2 .

It is a cyclic number.

It is not a de Polignac number, because 12587213 - 214 = 12570829 is a prime.

It is a super-3 number, since 3×125872133 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12587219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6293606 + 6293607.

It is an arithmetic number, because the mean of its divisors is an integer number (6293607).

Almost surely, 212587213 is an apocalyptic number.

It is an amenable number.

12587213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12587213 is an equidigital number, since it uses as much as digits as its factorization.

12587213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3360, while the sum is 29.

The square root of 12587213 is about 3547.8462480778. The cubic root of 12587213 is about 232.6179337713.

The spelling of 12587213 in words is "twelve million, five hundred eighty-seven thousand, two hundred thirteen".