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58938097 is a prime number
BaseRepresentation
bin1110000011010…
…1001011110001
311002220100212111
43200311023301
5110042004342
65503125321
71313652121
oct340651361
9132810774
1058938097
11302a6079
12178a3841
13c29781a
147b82c81
155293217
hex38352f1

58938097 has 2 divisors, whose sum is σ = 58938098. Its totient is φ = 58938096.

The previous prime is 58938071. The next prime is 58938101. The reversal of 58938097 is 79083985.

58938097 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., 58614336 + 323761 = 7656^2 + 569^2 .

It is a cyclic number.

It is not a de Polignac number, because 58938097 - 27 = 58937969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58938097.

It is not a weakly prime, because it can be changed into another prime (58938497) 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, 29469048 + 29469049.

It is an arithmetic number, because the mean of its divisors is an integer number (29469049).

Almost surely, 258938097 is an apocalyptic number.

It is an amenable number.

58938097 is a deficient number, since it is larger than the sum of its proper divisors (1).

58938097 is an equidigital number, since it uses as much as digits as its factorization.

58938097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 58938097 is about 7677.1151482832. The cubic root of 58938097 is about 389.1634424415.

The spelling of 58938097 in words is "fifty-eight million, nine hundred thirty-eight thousand, ninety-seven".