63997 has 2 divisors, whose sum is σ = 63998. Its totient is φ = 63996.

The previous prime is 63977. The next prime is 64007. The reversal of 63997 is 79936.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 3481 = 246^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 63997 - 2¹¹ = 61949 is a prime.

63997 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63907) 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, 31998 + 31999.

It is an arithmetic number, because the mean of its divisors is an integer number (31999).

2⁶³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

63997 is a deficient number, since it is larger than the sum of its proper divisors (1).

63997 is an equidigital number, since it uses as much as digits as its factorization.

63997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 34.

The square root of 63997 is about 252.9762834734. The cubic root of 63997 is about 39.9993749902. Note that the first 3 decimals are identical.

The spelling of 63997 in words is "sixty-three thousand, nine hundred ninety-seven".