63973 has 16 divisors (see below), whose sum is σ = 85120. Its totient is φ = 46656.

The previous prime is 63949. The next prime is 63977. The reversal of 63973 is 37936.

63973 = 4³ + 5³ + ... + 22³.

63973 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a 3-Lehmer number, since φ(63973) divides (63973-1)³.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2^k-63973 is a prime.

It is a deceptive number, since it divides R₆₃₉₇₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63977) 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 in 15 ways as a sum of consecutive naturals, for example, 1711 + ... + 1747.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

It is a Poulet number, since it divides 2⁶³⁹⁷²-1.

2⁶³⁹⁷³ is an apocalyptic number.

It is an amenable number.

63973 is a deficient number, since it is larger than the sum of its proper divisors (21147).

63973 is a wasteful number, since it uses less digits than its factorization.

63973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its digits is 3402, while the sum is 28.

The square root of 63973 is about 252.9288437486. The cubic root of 63973 is about 39.9943742088.

It can be divided in two parts, 6397 and 3, that multiplied together give a palindrome (19191).

The spelling of 63973 in words is "sixty-three thousand, nine hundred seventy-three".