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58638361 is a prime number
BaseRepresentation
bin1101111110110…
…0000000011001
311002100010201011
43133230000121
5110002411421
65452453521
71311263215
oct337540031
9132303634
1058638361
1130110961
121777a2a1
13c1c1272
147b05945
1552344e1
hex37ec019

58638361 has 2 divisors, whose sum is σ = 58638362. Its totient is φ = 58638360.

The previous prime is 58638347. The next prime is 58638367. The reversal of 58638361 is 16383685.

58638361 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 + 24025 = 7656^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 58638361 - 27 = 58638233 is a prime.

It is not a weakly prime, because it can be changed into another prime (58638367) 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, 29319180 + 29319181.

It is an arithmetic number, because the mean of its divisors is an integer number (29319181).

Almost surely, 258638361 is an apocalyptic number.

It is an amenable number.

58638361 is a deficient number, since it is larger than the sum of its proper divisors (1).

58638361 is an equidigital number, since it uses as much as digits as its factorization.

58638361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 40.

The square root of 58638361 is about 7657.5688700788. The cubic root of 58638361 is about 388.5026101492.

The spelling of 58638361 in words is "fifty-eight million, six hundred thirty-eight thousand, three hundred sixty-one".