64577 has 2 divisors, whose sum is σ = 64578. Its totient is φ = 64576.
The previous prime is 64567. The next prime is 64579. The reversal of 64577 is 77546.
64577 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., 59536 + 5041 = 244^2 + 71^2 .
It is a cyclic number.
It is not a de Polignac number, because 64577 - 26 = 64513 is a prime.
Together with 64579, it forms a pair of twin primes.
It is a Chen prime.
It is a plaindrome in base 11.
It is a nialpdrome in base 16.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64577.
It is not a weakly prime, because it can be changed into another prime (64579) by changing a digit.
It is a good prime.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32288 + 32289.
It is an arithmetic number, because the mean of its divisors is an integer number (32289).
264577 is an apocalyptic number.
It is an amenable number.
64577 is a deficient number, since it is larger than the sum of its proper divisors (1).
64577 is an equidigital number, since it uses as much as digits as its factorization.
64577 is an evil number, because the sum of its binary digits is even.
The product of its digits is 5880, while the sum is 29.
The square root of 64577 is about 254.1200503699. The cubic root of 64577 is about 40.1198488808.
The spelling of 64577 in words is "sixty-four thousand, five hundred seventy-seven".
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