64601 has 2 divisors, whose sum is σ = 64602. Its totient is φ = 64600.

The previous prime is 64591. The next prime is 64609. The reversal of 64601 is 10646.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 1600 = 251^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 64601 - 2¹⁰ = 63577 is a prime.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 64601.

It is not a weakly prime, because it can be changed into another prime (64609) 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, 32300 + 32301.

It is an arithmetic number, because the mean of its divisors is an integer number (32301).

2⁶⁴⁶⁰¹ is an apocalyptic number.

It is an amenable number.

64601 is a deficient number, since it is larger than the sum of its proper divisors (1).

64601 is an equidigital number, since it uses as much as digits as its factorization.

64601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 64601 is about 254.1672677589. The cubic root of 64601 is about 40.1248184371.

The spelling of 64601 in words is "sixty-four thousand, six hundred one".