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12582797 is a prime number
BaseRepresentation
bin101111111111…
…111110001101
3212200021100112
4233333332031
511210122142
61125405405
7211644353
oct57777615
925607315
1012582797
117114707
124269865
1327b7356
1419577d3
151188382
hexbfff8d

12582797 has 2 divisors, whose sum is σ = 12582798. Its totient is φ = 12582796.

The previous prime is 12582767. The next prime is 12582799. The reversal of 12582797 is 79728521.

12582797 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., 10329796 + 2253001 = 3214^2 + 1501^2 .

It is a cyclic number.

It is not a de Polignac number, because 12582797 - 212 = 12578701 is a prime.

Together with 12582799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12582799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291398 + 6291399.

It is an arithmetic number, because the mean of its divisors is an integer number (6291399).

Almost surely, 212582797 is an apocalyptic number.

It is an amenable number.

12582797 is a deficient number, since it is larger than the sum of its proper divisors (1).

12582797 is an equidigital number, since it uses as much as digits as its factorization.

12582797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 41.

The square root of 12582797 is about 3547.2238440786. The cubic root of 12582797 is about 232.5907272999.

The spelling of 12582797 in words is "twelve million, five hundred eighty-two thousand, seven hundred ninety-seven".