Search a number
-
+
12582181 is a prime number
BaseRepresentation
bin101111111111…
…110100100101
3212200020111201
4233333310211
511210112211
61125402501
7211642513
oct57776445
925606451
1012582181
1171141a7
124269431
1327b6ca1
1419574b3
1511880c1
hexbffd25

12582181 has 2 divisors, whose sum is σ = 12582182. Its totient is φ = 12582180.

The previous prime is 12582169. The next prime is 12582191. The reversal of 12582181 is 18128521.

12582181 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., 12489156 + 93025 = 3534^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 12582181 - 25 = 12582149 is a prime.

It is a super-2 number, since 2×125821812 = 316622557433522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12582191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291090 + 6291091.

It is an arithmetic number, because the mean of its divisors is an integer number (6291091).

Almost surely, 212582181 is an apocalyptic number.

It is an amenable number.

12582181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12582181 is an equidigital number, since it uses as much as digits as its factorization.

12582181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1280, while the sum is 28.

The square root of 12582181 is about 3547.1370145513. The cubic root of 12582181 is about 232.5869316885.

The spelling of 12582181 in words is "twelve million, five hundred eighty-two thousand, one hundred eighty-one".