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13195837 is a prime number
BaseRepresentation
bin110010010101…
…101000111101
3220211102021201
4302111220331
511334231322
61150455501
7220106554
oct62255075
926742251
1013195837
1174a3256
124504591
1329703b5
141a76d9b
151259d27
hexc95a3d

13195837 has 2 divisors, whose sum is σ = 13195838. Its totient is φ = 13195836.

The previous prime is 13195829. The next prime is 13195843. The reversal of 13195837 is 73859131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13147876 + 47961 = 3626^2 + 219^2 .

It is an emirp because it is prime and its reverse (73859131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13195837 - 23 = 13195829 is a prime.

It is a super-2 number, since 2×131958372 = 348260228261138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13195796 and 13195805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13195817) 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, 6597918 + 6597919.

It is an arithmetic number, because the mean of its divisors is an integer number (6597919).

Almost surely, 213195837 is an apocalyptic number.

It is an amenable number.

13195837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13195837 is an equidigital number, since it uses as much as digits as its factorization.

13195837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 37.

The square root of 13195837 is about 3632.6074657194. The cubic root of 13195837 is about 236.3083026604.

The spelling of 13195837 in words is "thirteen million, one hundred ninety-five thousand, eight hundred thirty-seven".