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13813297 is a prime number
BaseRepresentation
bin110100101100…
…011000110001
3221222210021121
4310230120301
512014011142
61212022241
7225261001
oct64543061
927883247
1013813297
117885153
124761981
132b28464
141b98001
15132cc67
hexd2c631

13813297 has 2 divisors, whose sum is σ = 13813298. Its totient is φ = 13813296.

The previous prime is 13813237. The next prime is 13813307. The reversal of 13813297 is 79231831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 152881 = 3696^2 + 391^2 .

It is a cyclic number.

It is not a de Polignac number, because 13813297 - 27 = 13813169 is a prime.

It is not a weakly prime, because it can be changed into another prime (13813207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906648 + 6906649.

It is an arithmetic number, because the mean of its divisors is an integer number (6906649).

Almost surely, 213813297 is an apocalyptic number.

It is an amenable number.

13813297 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813297 is an equidigital number, since it uses as much as digits as its factorization.

13813297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 34.

The square root of 13813297 is about 3716.6244093263. The cubic root of 13813297 is about 239.9380453507.

The spelling of 13813297 in words is "thirteen million, eight hundred thirteen thousand, two hundred ninety-seven".