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13027793 is a prime number
BaseRepresentation
bin110001101100…
…100111010001
3220111212202212
4301230213101
511313342133
61143121505
7215506622
oct61544721
926455685
1013027793
117398a79
124443295
132911a6c
141a31a49
151225148
hexc6c9d1

13027793 has 2 divisors, whose sum is σ = 13027794. Its totient is φ = 13027792.

The previous prime is 13027769. The next prime is 13027801. The reversal of 13027793 is 39772031.

13027793 is digitally balanced in base 2, 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., 12159169 + 868624 = 3487^2 + 932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13027793 is a prime.

It is a super-3 number, since 3×130277933 (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13027723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6513896 + 6513897.

It is an arithmetic number, because the mean of its divisors is an integer number (6513897).

Almost surely, 213027793 is an apocalyptic number.

It is an amenable number.

13027793 is a deficient number, since it is larger than the sum of its proper divisors (1).

13027793 is an equidigital number, since it uses as much as digits as its factorization.

13027793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 13027793 is about 3609.4034133081. The cubic root of 13027793 is about 235.3009152558.

The spelling of 13027793 in words is "thirteen million, twenty-seven thousand, seven hundred ninety-three".