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64138337 is a prime number
BaseRepresentation
bin1111010010101…
…0110001100001
311110200120020222
43310222301201
5112404411322
610210412425
71406111144
oct364526141
9143616228
1064138337
113322809a
1219591115
13103987a3
14873805b
15596de42
hex3d2ac61

64138337 has 2 divisors, whose sum is σ = 64138338. Its totient is φ = 64138336.

The previous prime is 64138301. The next prime is 64138351. The reversal of 64138337 is 73383146.

It is a happy number.

64138337 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., 60202081 + 3936256 = 7759^2 + 1984^2 .

It is a cyclic number.

It is not a de Polignac number, because 64138337 - 218 = 63876193 is a prime.

It is a super-2 number, since 2×641383372 = 8227452546251138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64138297 and 64138306.

It is not a weakly prime, because it can be changed into another prime (64138367) 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, 32069168 + 32069169.

It is an arithmetic number, because the mean of its divisors is an integer number (32069169).

Almost surely, 264138337 is an apocalyptic number.

It is an amenable number.

64138337 is a deficient number, since it is larger than the sum of its proper divisors (1).

64138337 is an equidigital number, since it uses as much as digits as its factorization.

64138337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 35.

The square root of 64138337 is about 8008.6413953929. The cubic root of 64138337 is about 400.2879946812.

The spelling of 64138337 in words is "sixty-four million, one hundred thirty-eight thousand, three hundred thirty-seven".