Search a number
-
+
12582919 is a prime number
BaseRepresentation
bin110000000000…
…000000000111
3212200021112001
4300000000013
511210123134
61125410131
7211644616
oct60000007
925607461
1012582919
117114808
124269947
1327b741b
14195787d
151188414
hexc00007

12582919 has 2 divisors, whose sum is σ = 12582920. Its totient is φ = 12582918.

The previous prime is 12582917. The next prime is 12582929. The reversal of 12582919 is 91928521.

12582919 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12582919 - 21 = 12582917 is a prime.

It is a super-2 number, since 2×125829192 = 316659701121122, which contains 22 as substring.

Together with 12582917, it forms a pair of twin primes.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12582917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291459 + 6291460.

It is an arithmetic number, because the mean of its divisors is an integer number (6291460).

Almost surely, 212582919 is an apocalyptic number.

12582919 is a deficient number, since it is larger than the sum of its proper divisors (1).

12582919 is an equidigital number, since it uses as much as digits as its factorization.

12582919 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 37.

The square root of 12582919 is about 3547.2410405835. The cubic root of 12582919 is about 232.5914790135.

The spelling of 12582919 in words is "twelve million, five hundred eighty-two thousand, nine hundred nineteen".