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17312993 is a prime number
BaseRepresentation
bin100001000001…
…0110011100001
31012120120221222
41002002303201
513413003433
61415024425
7300105125
oct102026341
935516858
1017312993
119855565
12596b115
133782399
142429585
1517beb98
hex1082ce1

17312993 has 2 divisors, whose sum is σ = 17312994. Its totient is φ = 17312992.

The previous prime is 17312983. The next prime is 17313011. The reversal of 17312993 is 39921371.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14807104 + 2505889 = 3848^2 + 1583^2 .

It is a cyclic number.

It is not a de Polignac number, because 17312993 - 210 = 17311969 is a prime.

It is not a weakly prime, because it can be changed into another prime (17312983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8656496 + 8656497.

It is an arithmetic number, because the mean of its divisors is an integer number (8656497).

Almost surely, 217312993 is an apocalyptic number.

It is an amenable number.

17312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

17312993 is an equidigital number, since it uses as much as digits as its factorization.

17312993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 35.

The square root of 17312993 is about 4160.8884868499. Note that the first 3 decimals coincide. The cubic root of 17312993 is about 258.6965981574.

The spelling of 17312993 in words is "seventeen million, three hundred twelve thousand, nine hundred ninety-three".