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13035973 is a prime number
BaseRepresentation
bin110001101110…
…100111000101
3220112021222211
4301232213011
511314122343
61143223421
7215542516
oct61564705
926467884
1013035973
1173a4135
124447b71
1329156c2
141a34a0d
15122779d
hexc6e9c5

13035973 has 2 divisors, whose sum is σ = 13035974. Its totient is φ = 13035972.

The previous prime is 13035959. The next prime is 13036007. The reversal of 13035973 is 37953031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12623809 + 412164 = 3553^2 + 642^2 .

It is a cyclic number.

It is not a de Polignac number, because 13035973 - 29 = 13035461 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13035943) 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, 6517986 + 6517987.

It is an arithmetic number, because the mean of its divisors is an integer number (6517987).

Almost surely, 213035973 is an apocalyptic number.

It is an amenable number.

13035973 is a deficient number, since it is larger than the sum of its proper divisors (1).

13035973 is an equidigital number, since it uses as much as digits as its factorization.

13035973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 13035973 is about 3610.5363867437. The cubic root of 13035973 is about 235.3501525232.

The spelling of 13035973 in words is "thirteen million, thirty-five thousand, nine hundred seventy-three".