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13807823 is a prime number
BaseRepresentation
bin110100101011…
…000011001111
3221222111202212
4310223003033
512013322243
61211541035
7225236021
oct64530317
927874685
1013807823
117881027
12475a77b
132b25b13
141b96011
15132b318
hexd2b0cf

13807823 has 2 divisors, whose sum is σ = 13807824. Its totient is φ = 13807822.

The previous prime is 13807817. The next prime is 13807831. The reversal of 13807823 is 32870831.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13807823 - 210 = 13806799 is a prime.

It is a Sophie Germain prime.

It is equal to p898412 and since 13807823 and 898412 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13807823.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13807873) 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, 6903911 + 6903912.

It is an arithmetic number, because the mean of its divisors is an integer number (6903912).

Almost surely, 213807823 is an apocalyptic number.

13807823 is a deficient number, since it is larger than the sum of its proper divisors (1).

13807823 is an equidigital number, since it uses as much as digits as its factorization.

13807823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 13807823 is about 3715.8879154248. The cubic root of 13807823 is about 239.9063465609.

The spelling of 13807823 in words is "thirteen million, eight hundred seven thousand, eight hundred twenty-three".