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13824017 is a prime number
BaseRepresentation
bin110100101111…
…000000010001
3222000022222122
4310233000101
512014332032
61212144025
7225334154
oct64570021
928008878
1013824017
117892209
124768015
132b302bc
141b9bc9b
151331012
hexd2f011

13824017 has 2 divisors, whose sum is σ = 13824018. Its totient is φ = 13824016.

The previous prime is 13823987. The next prime is 13824023. The reversal of 13824017 is 71042831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13608721 + 215296 = 3689^2 + 464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13824017 is a prime.

It is a super-2 number, since 2×138240172 = 382206892032578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13824617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912008 + 6912009.

It is an arithmetic number, because the mean of its divisors is an integer number (6912009).

Almost surely, 213824017 is an apocalyptic number.

It is an amenable number.

13824017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824017 is an equidigital number, since it uses as much as digits as its factorization.

13824017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 13824017 is about 3718.0662984944. The cubic root of 13824017 is about 240.0000983796. Note that the first 4 decimals are identical.

Adding to 13824017 its reverse (71042831), we get a palindrome (84866848).

The spelling of 13824017 in words is "thirteen million, eight hundred twenty-four thousand, seventeen".