Search a number
-
+
12382417 is a prime number
BaseRepresentation
bin101111001111…
…000011010001
3212022002111001
4233033003101
511132214132
61121222001
7210151225
oct57170321
925262431
1012382417
116a98103
124191901
132747098
141904785
151148ce7
hexbcf0d1

12382417 has 2 divisors, whose sum is σ = 12382418. Its totient is φ = 12382416.

The previous prime is 12382411. The next prime is 12382421. The reversal of 12382417 is 71428321.

12382417 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., 11350161 + 1032256 = 3369^2 + 1016^2 .

It is a cyclic number.

It is not a de Polignac number, because 12382417 - 27 = 12382289 is a prime.

It is not a weakly prime, because it can be changed into another prime (12382411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6191208 + 6191209.

It is an arithmetic number, because the mean of its divisors is an integer number (6191209).

Almost surely, 212382417 is an apocalyptic number.

It is an amenable number.

12382417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12382417 is an equidigital number, since it uses as much as digits as its factorization.

12382417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 28.

The square root of 12382417 is about 3518.8658684298. The cubic root of 12382417 is about 231.3494520370.

It can be divided in two parts, 1238 and 2417, that added together give a triangular number (3655 = T85).

The spelling of 12382417 in words is "twelve million, three hundred eighty-two thousand, four hundred seventeen".