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64301 is a prime number
BaseRepresentation
bin1111101100101101
310021012112
433230231
54024201
61213405
7355316
oct175455
9107175
1064301
1144346
1231265
1323363
141960d
15140bb
hexfb2d

64301 has 2 divisors, whose sum is σ = 64302. Its totient is φ = 64300.

The previous prime is 64283. The next prime is 64303. The reversal of 64301 is 10346.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 13225 = 226^2 + 115^2 .

It is a cyclic number.

It is not a de Polignac number, because 64301 - 26 = 64237 is a prime.

It is a Sophie Germain prime.

Together with 64303, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32150 + 32151.

It is an arithmetic number, because the mean of its divisors is an integer number (32151).

264301 is an apocalyptic number.

It is an amenable number.

64301 is a deficient number, since it is larger than the sum of its proper divisors (1).

64301 is an equidigital number, since it uses as much as digits as its factorization.

64301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 64301 is about 253.5764184620. The cubic root of 64301 is about 40.0626102810.

Adding to 64301 its reverse (10346), we get a palindrome (74647).

The spelling of 64301 in words is "sixty-four thousand, three hundred one".