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58997993 is a prime number
BaseRepresentation
bin1110000100001…
…1110011101001
311010000102000212
43201003303221
5110100413433
65504310505
71314321545
oct341036351
9133012025
1058997993
113033707a
1217912435
13c2b8b72
147b9aa25
1552a5d48
hex3843ce9

58997993 has 2 divisors, whose sum is σ = 58997994. Its totient is φ = 58997992.

The previous prime is 58997969. The next prime is 58998029. The reversal of 58997993 is 39979985.

58997993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58553104 + 444889 = 7652^2 + 667^2 .

It is a cyclic number.

It is not a de Polignac number, because 58997993 - 214 = 58981609 is a prime.

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 (58997923) 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, 29498996 + 29498997.

It is an arithmetic number, because the mean of its divisors is an integer number (29498997).

Almost surely, 258997993 is an apocalyptic number.

It is an amenable number.

58997993 is a deficient number, since it is larger than the sum of its proper divisors (1).

58997993 is an equidigital number, since it uses as much as digits as its factorization.

58997993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5511240, while the sum is 59.

The square root of 58997993 is about 7681.0151021854. The cubic root of 58997993 is about 389.2952272752.

It can be divided in two parts, 5 and 8997993, that added together give a palindrome (8997998).

The spelling of 58997993 in words is "fifty-eight million, nine hundred ninety-seven thousand, nine hundred ninety-three".