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13825769 is a prime number
BaseRepresentation
bin110100101111…
…011011101001
3222000102101112
4310233123221
512014411034
61212200105
7225342236
oct64573351
928012345
1013825769
117893561
124769035
132b31039
141b9c78d
1513317ce
hexd2f6e9

13825769 has 2 divisors, whose sum is σ = 13825770. Its totient is φ = 13825768.

The previous prime is 13825751. The next prime is 13825771. The reversal of 13825769 is 96752831.

13825769 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., 9684544 + 4141225 = 3112^2 + 2035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13825769 is a prime.

It is a super-2 number, since 2×138257692 = 382303776882722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 13825771, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13825069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912884 + 6912885.

It is an arithmetic number, because the mean of its divisors is an integer number (6912885).

Almost surely, 213825769 is an apocalyptic number.

It is an amenable number.

13825769 is a deficient number, since it is larger than the sum of its proper divisors (1).

13825769 is an equidigital number, since it uses as much as digits as its factorization.

13825769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 41.

The square root of 13825769 is about 3718.3018973720. The cubic root of 13825769 is about 240.0102368319.

The spelling of 13825769 in words is "thirteen million, eight hundred twenty-five thousand, seven hundred sixty-nine".