63601 has 2 divisors, whose sum is σ = 63602. Its totient is φ = 63600.

The previous prime is 63599. The next prime is 63607. The reversal of 63601 is 10636.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 1600 = 249^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 63601 - 2¹ = 63599 is a prime.

Together with 63599, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (63607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31800 + 31801.

It is an arithmetic number, because the mean of its divisors is an integer number (31801).

2⁶³⁶⁰¹ is an apocalyptic number.

63601 is the 160-th centered pentagonal number.

It is an amenable number.

63601 is a deficient number, since it is larger than the sum of its proper divisors (1).

63601 is an equidigital number, since it uses as much as digits as its factorization.

63601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 63601 is about 252.1923868795. The cubic root of 63601 is about 39.9167016551.

The spelling of 63601 in words is "sixty-three thousand, six hundred one".